
Prove that angles inscribed in the semi circle are right angle.
Important Questions on Circle
In the figure, is the centre of a circle, is a diameter. If , then find the measure of (in ).

In the figure given below, is the centre of the circle and is a diameter. If and . Find .

The angle subtended by the diameter of a circle at a point on the circumference is _____.

is the diameter of the circle. is the point on the circle.
. The measure of one among and is . Write the measures of .

In the figure given below is the centre of the circle. If the and angle . Find the value of giving reasons.

In the given figure is the centre of the circle,
What is the measure of

In the figure given below, is the centre of the circle and is a diameter. If and . Find .

Prove that the angle formed by an arc on the centre of the circle is twice the angle formed at any point of remaining part of the circle.

In the given figure, is a pentagon inscribed in a circle such that is a diameter and side . If , find giving reason

In the figure given below, is the centre of the circle and is a diameter. If and . Find in degrees.

A sector of radius and central angle is rolled up into a cone. What is the central angle of the sector to be used to make a cone of base radius and height ?



In the figure, the chord is perpendicular to the diameter . Find the measure of . (in ).


Prove that, the angles in the same segment of a circle are equal to each other.

In the given figure is centre of a circle, and then the value of will be

In the given figure a quadrilateral have , then prove that .

In the given figure, is a pentagon inscribed in a circle such that is a diameter and side . If , find giving reason .

In the given figure and are two tangents to the circle with centre , touching at and respectively. If and , find


