Calculate the length in cm. of the area of a circle of diameter 8cm which subtends an angle of 2212 1 2 o at the centre of the circle

Question 1 Report

Calculate the length in cm. of the area of a circle of diameter 8cm which subtends an angle of 22 $\frac{1}{2}$ o at the centre of the circle

2

π

π

\frac{2}{3}

\frac{π}{2}

Answer Details

Diameter = 8cm
∴ Radius = 4cm
Length of arc = $\frac{θ}{360}$ x 2 $π$ r but Q = 22 $\frac{1}{2}$
∴ Length $\frac{22 \frac{1}{2}}{360}$ x 2 x $π$ x 4
= $\frac{22 \frac{1}{2} \times 8 π}{360}$
= $\frac{180}{360}$
= $\frac{π}{2}$

Read lesson note on Circles (WAEC)

Circles

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