Question
What is the equation of the circle if the radius is 4 cm and center is origin?
- x2 + y2 = 16
- x2 + y2 = 1
- x2 + y2 = 4
- x2 + y2 = 9
Hint:
The General equation of a circle with center 
and radius r is: 
.
The correct answer is: x2 + y2 = 16
The equation of a circle with center and radius r is:
Given, radius is 4 => r = 4
Centre is origin (0,0) = (h, k) => upon comparing h = 0 and k = 0
The equation of circle with center (0, 0) and radius 4 is
=> 
Therefore, is the the equation of the circle if the radius is 4 cm and center is origin.
Related Questions to study
Which theorem is used to derive the standard equation of a circle?
Which theorem is used to derive the standard equation of a circle?
If two chords are congruent then their respective arcs are_____________.
Two figures are said to be congruent if they are identical to each other or they superimpose on each other completely. In a circle two chords will be congruent only if their lengths are equal.
If two chords are congruent then their respective arcs are_____________.
Two figures are said to be congruent if they are identical to each other or they superimpose on each other completely. In a circle two chords will be congruent only if their lengths are equal.
The measure of an inscribed angle is _____________ the measure of its intercepted arc
Intercepted arc is a part of the circle’s circumference which is formed when two lines passes through the circle and meet at a point inside the circle. The angle formed at the point of intersection is called inscribed angle.
The measure of an inscribed angle is _____________ the measure of its intercepted arc
Intercepted arc is a part of the circle’s circumference which is formed when two lines passes through the circle and meet at a point inside the circle. The angle formed at the point of intersection is called inscribed angle.
If two inscribed angles of a circle intercept ____________ Arc, the angles are congruent
If two inscribed angles of a circle intercept ____________ Arc, the angles are congruent
The line which intersects the circle at one point is called_____________
The line which intersects the circle at one point is called_____________
If a tangent and secant, two tangents or two secants intersect outside a circle, then the measure of the angle is one half the _____________ of the measures of the intercepted arcs.
Intercepted arc is a part of the circle’s circumference which is formed when two lines passes through the circle and meet at a point inside the circle. The angle formed at the point of intersection is called inscribed angle.
If a tangent and secant, two tangents or two secants intersect outside a circle, then the measure of the angle is one half the _____________ of the measures of the intercepted arcs.
Intercepted arc is a part of the circle’s circumference which is formed when two lines passes through the circle and meet at a point inside the circle. The angle formed at the point of intersection is called inscribed angle.
Inscribed angle is half the measure of its _____________.
Intercepted arc is a part of the circle’s circumference which is formed when two lines passes through the circle and meet at a point inside the circle. The angle formed at the point of intersection is called inscribed angle.
Inscribed angle is half the measure of its _____________.
Intercepted arc is a part of the circle’s circumference which is formed when two lines passes through the circle and meet at a point inside the circle. The angle formed at the point of intersection is called inscribed angle.
If two chords intersect inside a circle, then the measure of each angle is one half the _____________ of the measures of the arcs intercepted by the angle and its vertical angle.
Vertical angles are a pair of opposite angles which are formed when two lines intersect with each other.
Intercepted arc is a part of the circle’s circumference which is formed when two lines passes through the circle and meet at a point inside the circle. The angle formed at the point of intersection is called inscribed angle.
If two chords intersect inside a circle, then the measure of each angle is one half the _____________ of the measures of the arcs intercepted by the angle and its vertical angle.
Vertical angles are a pair of opposite angles which are formed when two lines intersect with each other.
Intercepted arc is a part of the circle’s circumference which is formed when two lines passes through the circle and meet at a point inside the circle. The angle formed at the point of intersection is called inscribed angle.
