Circle - Segment and Sector

IMPORTANT

Circle - Segment and Sector: Overview

This topic explains concepts such as Segment of a Circle, Major Segment of a Circle, Minor Segment of a Circle, Sector of a Circle, etc.

Important Questions on Circle - Segment and Sector

MEDIUM
IMPORTANT

A chord AB of a circle of radius 10 cm makes a right angle at the centre of the circle. Find the difference between the areas of the major and minor segments of the circle. (use π = 3.14)

MEDIUM
IMPORTANT

AB is a chord to a circle and PAT is the tangent to the circle at A. If BAT=75° and BAC=45°, C being a point on the circle then, ABC is equal to-

EASY
IMPORTANT

What is the value of BAC + OBC. If BC is the chord of the circle with centre O. A is a point on major arc BC as shown in the fig.

Question Image

HARD
IMPORTANT

If a line segment joining two points subtends equal angles at two other points lying on the same side of the line containing the segment, the four points are con-cyclic (i.e., or the same circle)

EASY
IMPORTANT

The base radius of a cone made by rolling up a sector is 3 cm, its slant height is 15 cm.
What is the radius of the sector.

MEDIUM
IMPORTANT

Consider the following to the question that follow:

A chord of length l of a circle makes an angle 90o at the centre of the circle.

What is the area of the major segment?

MEDIUM
IMPORTANT

Consider the following to the question that follow:

A chord of length l of a circle makes an angle 90o at the centre of the circle.

What is the area of the minor segment?

EASY
IMPORTANT

Find the area of a sector (in cm2) of a circle with radius 6 cm if angle of the sector is 60°.

EASY
IMPORTANT

Area of major sector is smaller than that of a semicircle.

EASY
IMPORTANT

Define minor sector of a circle.

EASY
IMPORTANT

Define major sector of a circle.

EASY
IMPORTANT

Define major segment of a circle.

EASY
IMPORTANT

Area of minor sector is less than that of a semicircle.

EASY
IMPORTANT

Area of major sector is ___ than that of a semicircle.

EASY
IMPORTANT

Area of minor sector is ___ than that of a semicircle.

MEDIUM
IMPORTANT

AB is a chord of a circle in minor segment with centre O. C is a point on the minor arc of the circle between the points A and B. the tangents to the circle at A and B meet at the point O. If ACB=102°, then what is the measure of APB?

EASY
IMPORTANT

 Find the area of the major segment of a circle if the area of the corresponding minor segment is 62 sq. units and the radius is 14 units. Use π=227 and write the answer in sq. units.

Question Image

EASY
IMPORTANT

Angle formed in minor segment of a circle is obtuse

EASY
IMPORTANT

A sector is the area enclosed by two radii and an arc.

EASY
IMPORTANT

Segment of a circle is the region between an arc and _____ of the circle.