Have a query? Ask a Tutor!!

Access to best educators and exclusive paper discussions

Offsite Campus Turito Championship

Can’t find what you’re looking for?

Our tutors are from top schools around the world, and they are waiting for you 24/7, anytime, anywhere.

Homework- One to One Solutions
Understand concepts to solve better
Get your doubts solved instantly

Mathematics

Grade9

Easy

Question

Find the equation of the circle that has the center at (0, 0) and radius 6.

$x^{2} + y^{2} = 1$
$x^{2} + y^{2} = 4$
$x^{2} + y^{2} = 9$
$x^{2} + y^{2} = 36$

hint Hint:

The equation of a circle with radius r and center at the origin is $x squared plus y squared equals r squared.$

The correct answer is: $x squared plus y squared equals 36$

The equation of a circle with radius r and center at the origin is $x squared plus y squared equals r squared.$
Given, the center of circle is Origin (0, 0), and radius is 6.
So, equation of circle is $x squared plus y squared equals 6 squared rightwards double arrow$ $x squared plus y squared equals 36$
Therefore, the equation of the circle that has the center at (0, 0) and radius 6 is $x squared plus y squared equals 36$ .

Related Questions to study

Write the circle equation from the graph.

Write the circle equation from the graph.

MathematicsGrade9

What is the radius when the endpoints of the diameter are (5, 6) and (1, 2)?

What is the radius when the endpoints of the diameter are (5, 6) and (1, 2)?

MathematicsGrade9

Find the length of the radius when the endpoints of the diameter are (-7, 1) and (1, 3)?

Find the length of the radius when the endpoints of the diameter are (-7, 1) and (1, 3)?

MathematicsGrade9

parallel

What is the standard equation when the center is (-1, -1) and the point on the circle is (4, -5)?

What is the standard equation when the center is (-1, -1) and the point on the circle is (4, -5)?

MathematicsGrade9

What is the distance between the point (6, 8) and the origin?

What is the distance between the point (6, 8) and the origin?

MathematicsGrade9

Write the standard equation of when the center is (0, 6) and point on the circle is (2, 3).

Write the standard equation of when the center is (0, 6) and point on the circle is (2, 3).

MathematicsGrade9

parallel

Find the value of the x when the distance between the points (-2, -3) and (-3, x) is equal to 5.

Find the value of the x when the distance between the points (-2, -3) and (-3, x) is equal to 5.

MathematicsGrade9

What is the radius when the center is (-5, 8) and the point on the circle is (2, 10)?

What is the radius when the center is (-5, 8) and the point on the circle is (2, 10)?

MathematicsGrade9

What is the equation of the circle when the radius is 6 going through the origin?

What is the equation of the circle when the radius is 6 going through the origin?

MathematicsGrade9

parallel

Find the distance between the points (6, 14) and (-6, 9).

Find the distance between the points (6, 14) and (-6, 9).

MathematicsGrade9

Find the distance between (-1, -2) and (-9, 4).

Find the distance between (-1, -2) and (-9, 4).

MathematicsGrade9

Find the distance between the points (1, 4) and (5, 1)?

Find the distance between the points (1, 4) and (5, 1)?

MathematicsGrade9

parallel

What is the distance between (8, -3) and (4, -7)?

What is the distance between (8, -3) and (4, -7)?

MathematicsGrade9

Radius of the circle with center (h, k) and point on the circle (x, y) ____.

Radius of the circle with center (h, k) and point on the circle (x, y) ____.

MathematicsGrade9

What is the standard equation of the circle with the center (h, k) and radius r?

What is the standard equation of the circle with the center (h, k) and radius r?

MathematicsGrade9

parallel

card img

With Turito Academy.

card img

With Turito Foundation.

card img

Get an Expert Advice From Turito.

Turito Academy

card img

With Turito Academy.

Test Prep

card img

With Turito Foundation.