Question

What is the area of the sector whose central angle is 90° and radius of the circle is 14 cm?

A) 308 sq cm B) 77 sq cm C) 154 sq cm D) 231 sq cm

Answer 1

Answer:

Option C

Step-by-step explanation:

To find the area of the sector, let us first find the area of the circle:

Area =

$\pi {r}^{2} = \frac{22}{7} \times \frac{ {14}^{2} }{1} = \frac{22}{7} \times \frac{196}{1} = \frac{22}{1} \times \frac{28}{1} = {616 \: \\ cm}^{2}$

Now, as per the question, the central angle of the sector is 90° which is 1/4th of the circle, i.e. 360°.

Therefore,

The reqd. area = 1/4 of

${616cm}^{2}$

= (1/4 of 616) = (616/4) =

${154cm}^{2}$

Which is Option C.

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