INTRODUCTION SECTOR OF CIRCLE AND SEGMENT OF CIRCLE

Circle O (not shown) is divided into three sectores. Point P, Q and R are on the circumference of the circle. Sector POR has an area of 8pi , and sector ROQ has an area of 6pi . IF the radius of circle O is 4, what is the measure of the central angle of sector QOP, in degrees?

If the adjoining figure is a sector of a circle of radius 10.5 cm, what is the perimeter of the sector? (Take pi=22//7 ) (FIGURE)

The figure above shows two circles , each with center O. Line segment bar(AB) is tangent to the smaller circle . If OA=5 and AB=12, what is the ratio of the area of the smaller circle to the area of the larger circle ?

The figure shows two circles with the same center O. Line segment bar(AB) ios tangent to the smaller circle . If OA=5 and AB=12.what is the ratio of the area of the smaller circle to the area of the larger circle ?

A B is a chord of a circle with centre O and radius 4 cm. A B is of length 4 cm. Find the area of sector of the circle formed by chord A B .

Circles with centres P and Q intersects at points A and B as shown in the figure. CBD is a line segment and EBM is tangent to the circle, with centre Q, at point B. If the circles are congruent, show that : CE = BD.

In the figure above, point O is the center of the circle, line segments LM and MN are tangent to the circle at points L and N, respectively, and the segments intersect at point M as shown. If the circumference of the circle is 96, what is the length of minor arc overset(frown)(LN) ?

Point A and B lie on circle O (not shown), AO=3 and angleAOB=120^(@) . What is the area of minor sector AOB?

A sector is cut from a circle of radius 21 cm. The angle of the sector is 150 degree . Find the length of its arc and area.

A sector is cut off from a circle of radius 21 cm. The angle of the sector is 150^(@) . Find the length of its arc and the area.