FIND AREA OF SECTOR AND SEGMENT OF A CIRCLE WORKSHEET

Problem 1 :

A circle has an arc whose measure is 18° and whose length is 88π . Find

i) Radius     ii)  area of sector

Solution

Problem 2 :

A circle has a circumference whose length is 25π . Find the area of sector whose central angle is 90°

Solution

Problem 3 :

Find the measure of the central angle of an arc if its length is 14π and the radius is 18. Find the area of sector.

Solution

Find the area of sector RST in ⊙ S using the given information. Leave your answer in terms of π.

Problem 4 :

r = 3 in, mRT = 30

Solution

Problem 5 :

r = 8 mm, mRT = 90

Solution

Problem 6 :

d = 10 ft, mTR = 180

Solution

Problem 7 :

d = 13 m, mTR = 120

Solution

Find the area of the shaded region. Leave your answer in terms of π and in simplest radical form.

Problem 1 :

Solution

Problem 2 :

Solution

Problem 3 :

Solution

Find the area of each shaded segment. Round your answer to the nearest tenth.

Problem 4 :

Solution

Problem 5 :

Solution

Problem 6 :

Solution

Find the area of the shaded region.

Problem 1 :

Solution

Problem 2 :

The diagram shows a sector OABC of a circle with centre O.

OA = OC = 10.4 cm

Angle AOC = 120˚

(a) Calculate the length of the arc ABC of the sector. Give your answer correct to 3 significant figures.

(b) Calculate the area of the shaded segment ABC . Give your answer correct to 3 significant figures.

Solution

Problem 3 :

The diagram shows a sector of a circle with centre O. The radius of the circle is 8 cm. PRS is an arc of the circle.PS is a chord of the circle.

Angle POS = 40˚

Solution

Problem 4 :

ABC is an arc of a circle centre O with radius 80 m. AC is a chord of the circle. Angle AOC = 35˚.

Calculate the area of the shaded region.

Give your answer correct to 3 significant figures.

Solution