# AREA OF SECTOR OF 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

1)  12.15

2)  625π

3)  395.64

4)  A = (3/4) 𝜋 in2

5)  A = 16 𝜋 mm2

6)  A = (25/2) 𝜋 mm2

7)  A = (42.25/3) 𝜋 m2

Problem 1 :

Find the area of the sector having the central angle as follows.

Solution

Problem 2 :

Calculate the sector area.

Solution

Problem 3 :

Given a central angle of 125º, find the area of sector in a circle of radius 7 cm. Round to the nearest tenth.

Solution

Problem 4 :

Find the area of a sector if the central angle measures 30º radians and the radius of the circle is 11 cm.

Solution

Problem 5 :

Find the area of the shaded region

Solution

Problem 6 :

The central angle of a sector is 60º and the area of the circle is 144π. What is the area of the sector ?

Solution

1) 19.44 π square units.

2)  113.03

3)  53.42 cm2

4) 31.53 cm2

5)   28.5 cm2

6)  75.51 square units.

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