General
General
Easy
Question
![](https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/questiontext/1716140/1/31209/30.PNG)
In the figure, arc
has a length of 11.5. To the nearest integer, what is the value of x?
- 660
- 550
- 630
- 330
Hint:
s = 2 π r (θ/360°)
where,
s=length of arc
The correct answer is: 660
s = 2 π r (θ/360°)------------(i)
here,
r=10
s=11.5
θ=x
put these values in eq (i)
11.5= 2*3.14*10 (x/360°)
on solving,we get
x=66
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In the figure, AC is a diameter of the circle and the length of AB is 1. If the radius of the circle is 1, what is the measure, in degrees, of ![angle B A C](data:image/png;base64,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)
![](data:image/png;base64,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)
In the figure, AC is a diameter of the circle and the length of AB is 1. If the radius of the circle is 1, what is the measure, in degrees, of ![angle B A C](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAADAAAAAOCAYAAABpcp9aAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAANvpXuIwAAAb1JREFUeNrdlsFHRFEUxq8xRkabFklGIsks26VF2oxkzCKRJEmiRasWQ1q1SJu0SBLJM0YSySwyEkmLFm2StGgRLfoHRpI8ifoO3/Ac79157zWb+vht7n333u+ee+65z5j4GjF/WLvgKKDPBV/gBTyDU9BpmWspxHo9YAPcgw/OvQba4pjfAzUw4NPXy0W8koVKAXNNgk+QtKxXBFUwBBJs6+LGS1HNly3mRWPgULWN+7QZRu8BXHCcn5bBfrPS5qCBedEqF9WbHg04ySkwC3Z8+vuYgslmmD8JYV50zGjKUfcDJyDHB5kWog4a1doMeT+sEiOVkOZFT+CbvAdEXiJ6yzyu6w5k1XePvFOxlYxoPkHTohTIgRumgk6zompbB4tqLve35qsRzBt+d6napln+6soy2lrDLLfGE4C3uOZl8FlE84YX0lFtM6qKXHtSTKPLqZxmOqr5FnAew7xoG8ypNocbEy2ALct4eRjzamwxioE0UyCOecP7Ur+07WCCj1qKL7HU/FbL+Hm1wW56WfG8uBLgAjeX0xNcWY7XD/0rUfP0uezPeMproUEAMqxi+mUv8z7IvK8s6XnzX/QDaeJwKVQFIl8AAABudEVYdE1hdGhNTAA8bWF0aCB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMTk5OC9NYXRoL01hdGhNTCI+PG1vPiYjeDIyMjA7PC9tbz48bWk+QjwvbWk+PG1pPkE8L21pPjxtaT5DPC9taT48L21hdGg+zcDCswAAAABJRU5ErkJggg==)
![](data:image/png;base64,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)
GeneralGeneral
General
![](https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/questiontext/869061/1/31065/15.PNG)
In the figure,
is inscribed in a circle. The length of minor arc
is what fraction of the circumference of the circle?
![](https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/questiontext/869061/1/31065/15.PNG)
In the figure,
is inscribed in a circle. The length of minor arc
is what fraction of the circumference of the circle?
GeneralGeneral
General
![](https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/questiontext/1722484/1/31063/14.PNG)
In the figure,
is inscribed in circle O. What is the measure of angle ACB?
![](https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/questiontext/1722484/1/31063/14.PNG)
In the figure,
is inscribed in circle O. What is the measure of angle ACB?
GeneralGeneral
General
![](https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/questiontext/1710242/1/31026/13.PNG)
A circle with a diameter of 10 is shown in the figure. If
what is the length of minor arc
?
![](https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/questiontext/1710242/1/31026/13.PNG)
A circle with a diameter of 10 is shown in the figure. If
what is the length of minor arc
?
GeneralGeneral
General
In the figure, circle A intersects circle B in exactly one point,
is tangent to both circles, circle A has a radius of 2, and circle B has a radius of 8. What is the length of
?
![](https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/questiontext/869058/1/31023/12.PNG)
In the figure, circle A intersects circle B in exactly one point,
is tangent to both circles, circle A has a radius of 2, and circle B has a radius of 8. What is the length of
?
![](https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/questiontext/869058/1/31023/12.PNG)
GeneralGeneral
General
In the figure,
are tangents to circle. What is the value of m?
![](data:image/png;base64,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)
In the figure,
are tangents to circle. What is the value of m?
![](data:image/png;base64,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)
GeneralGeneral
General
Point B lies 10 units from point A, which is the center of the circle of radius 6. If a tangent line is drawn from B to the circle, what is the distance from B to the point of tangency?
![](https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/questiontext/1713768/1/31017/10.PNG)
Point B lies 10 units from point A, which is the center of the circle of radius 6. If a tangent line is drawn from B to the circle, what is the distance from B to the point of tangency?
![](https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/questiontext/1713768/1/31017/10.PNG)
GeneralGeneral
General
What is the area, in square centimeters, of a circle with a circumference of 16π centimeters?
What is the area, in square centimeters, of a circle with a circumference of 16π centimeters?
GeneralGeneral
General
Two circles, A and B, lie in the same plane. If the center of circle B lies on circle A, then in how many points could circle A and circle B intersect?
I. 0 II. 1 III. 2
Two circles, A and B, lie in the same plane. If the center of circle B lies on circle A, then in how many points could circle A and circle B intersect?
I. 0 II. 1 III. 2
GeneralGeneral
General
A circle is inscribed in a square, as shown . If the diagonal of the square is 36 units, what is the diameter of the circle?
![](https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/questiontext/1710295/1/31011/6.PNG)
A circle is inscribed in a square, as shown . If the diagonal of the square is 36 units, what is the diameter of the circle?
![](https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/questiontext/1710295/1/31011/6.PNG)
GeneralGeneral
General
In the figure, two congruent circles are inscribed in a rectangle. If the area of one circle is 9
, what is the area of the rectangle?
![](https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/questiontext/1714409/1/31009/4.PNG)
In the figure, two congruent circles are inscribed in a rectangle. If the area of one circle is 9
, what is the area of the rectangle?
![](https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/questiontext/1714409/1/31009/4.PNG)
GeneralGeneral
General
In square ABCD, if the radius of the circle is 4, what is the area of the shaded region?
![](https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/questiontext/1711456/1/31008/3.PNG)
In square ABCD, if the radius of the circle is 4, what is the area of the shaded region?
![](https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/questiontext/1711456/1/31008/3.PNG)
GeneralGeneral
General
If 4 congruent circles of radius 1 are tangent to the sides of a square as shown in the figure, what is the area of the shaded region?
![](https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/questiontext/1721690/1/31006/1.PNG)
If 4 congruent circles of radius 1 are tangent to the sides of a square as shown in the figure, what is the area of the shaded region?
![](https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/questiontext/1721690/1/31006/1.PNG)
GeneralGeneral