Question

4.


The diagram shows a circle with center O and radius 42 inches.

A and B are points on the circumference such that arc AB makes an angle of 120° at O

Calculate the area of the sector AOB.
Use 22/7 as an approximation for π
A. 105, 840 in2
B. 3, 696 in2
C. 1, 848 in2
D. 1, 256 in2


So Area of the shaded segment (in cm2):

= 0.5 × (2.6179...− 0.5) × 100
= 0.5 × 2.1179... × 100
= 1.0589... × 100
= 105.89...
= 106 to the nearest cm2

Answer 1

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