MEDIUM
Earn 100

Prove that angles inscribed in the semi circle are right angle.

Important Questions on Circle

EASY

In the figure, O is the centre of a circle, AC is a diameter. If ACB = 50°, then find the measure of BAC(in °).

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MEDIUM

In the figure given below, O is the centre of the circle and AB is a diameter. If AC=BD and AOC=72°. Find BAD.

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EASY

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

MEDIUM

AB is the diameter of the circle. D is the point on the circle.

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ACB+ADB+AEB=270°. The measure of one among ACB, ADB and AEB is 110° . Write the measures of ACB, ADB, AEB.

MEDIUM

In the figure given below O is the centre of the circle. If the QR=OP and angle ORP=20°. Find the value of x giving reasons.

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EASY

In the given figure O is the centre of the circle, AOC=80°

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What is the measure of ABC

EASY

In the figure given below, O is the centre of the circle and AB is a diameter. If AC=BD and AOC=72°. Find ABC.

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HARD

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.

EASY

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In the given figure, ABCDE is a pentagon inscribed in a circle such that AC is a diameter and side BCAE. If BAC=50°, find giving reason

BEC

MEDIUM

In the figure given below, O is the centre of the circle and AB is a diameter. If AC=BD and AOC=72°. Find ABD in degrees.

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EASY

A sector of radius 12 centimetres and central angle 120° is rolled up into a cone. What is the central angle of the sector to be used to make a cone of base radius 2 centimetres and height 4 centimetres?

EASY
A, B and C are three points on a circle such that the angles subtended by the chords AB and AC at the centre O are 80° and 120°, respectively. The value of BAC is:
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EASY

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

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MEDIUM
In ABC, A=30°, B=80°, circumradius of the triangle is 4 cm. Draw the triangle. Measure and write the length of its smallest side.
EASY

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

MEDIUM

In the given figure O is centre of a circle, AOB = 40° and BDC = 100° then the value of OBC will be

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MEDIUM

In the given figure a quadrilateral ABCD have AB=AC=AD, then prove that BAD=2(BDC+CBD).

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MEDIUM

In the given figure, ABCDE is a pentagon inscribed in a circle such that AC is a diameter and side BCAE. If BAC=50°, find giving reason EDC.

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EASY

In the given figure TP and TQ are two tangents to the circle with centre O, touching at A and C respectively. If BCQ=55° and BAP=60°, findAOC.

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HARD
Two chords AB and CD of a circle with centre O intersect each other at P. If APC=95° and AOD =110°, then BOC is: