Circles - Theorems and Properties - Problems on Circles - Applications
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Q. If a circle has a radius of 3 cm, what is the length of an arc that subtends a central angle of 120 degrees?
Q. If two tangents are drawn from a point outside a circle to the circle, and the lengths of the tangents are equal, what can be said about the point and the circle?
Q. In a circle, if the angle subtended by an arc at the center is 80°, what is the angle subtended at any point on the remaining part of the circle?
Q. In a circle, if the radius is 10 cm, what is the length of a diameter?
Q. Two circles intersect at points A and B. If the angle ∠AOB is 60°, what is the measure of the angle ∠APB where P is any point on the circumference of the circles?
Q. Two circles intersect at points A and B. If the angle ∠APB is 60°, what is the measure of the angle ∠AOB, where O is the center of the circle?
Q. What is the area of a sector of a circle with a radius of 6 cm and a central angle of 90°?
Q. What is the distance between the center of a circle at (2, 3) and a point on the circumference at (5, 7)?
Q. What is the length of an arc of a circle with a radius of 10 cm and a central angle of 45°?
Q. What is the length of an arc of a circle with a radius of 4 cm that subtends an angle of 90° at the center?
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