# FIND AREA OF SECTOR WHEN ANGLE IS GIVEN IN RADIAN WORKSHEET

Problem 1 :

Use radians to find the arc length and area of a sector of a circle of :

a. radius 9 cm and angle 7π/4

Solution

Problem 2 :

A sector has an angle of 1.19 radians and an area of 20.8 cm2. Find its :

Solution

Problem 3 :

Find, in radians, the angle of a sector of :

a. radius 4.3 m and arc length 2.95 m

b. radius 10 cm and area 30 cm2

Solution

Problem 4 :

Find θ (in radians ) for each of the following, and hence find the area of each figure :

a.

b.

c.

Solution

Problem 5 :

Find the arc length and area of a sector of radius 5 cm and angle 2 radians.

Solution

1)  a)  Arc length = 49.455 cm, Area of sector = 222.55 cm2

b)  Arc length = 23.02 cm, Area of sector = 56.74 cm2

2)   a) r = 5.91 cm, b) p = 18.9 cm

3)  a)  So, the angle of a sector measures is 0.686 m.

b)  So, the angle of the sector measures is 0.6 cm2.

4)  a)  area = 24 cm2      b)  area = 21 cm2

c)  area = 126.8cm2

5)  So, arc length is 10 cm and area of a sector is 25 cm2.

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