Question

A Car has two wipers which do not cover mutual area. Length of each wiper is 25 cms and it makes angle of ${115}^{\circ }$ while cleaning. The area of cleaning by the wiper in one movement will be-

• A. $\frac{152815}{126}c{m}^2$
• B. $\frac{185125}{128}c{m}^2$
• C. $\frac{215815}{126}c{m}^2$
• D. $\frac{158125}{126}c{m}^2$

Answer 1

The correct option is D $\frac{158125}{126}c{m}^2$

Required area $=2\times \frac{{115}^{\circ }}{{360}^{\circ }}\pi {\left(25\right)}^2$
$=2\times \frac{115}{360}\times \frac{22}{7}\times 625$

$=\frac{158125}{126}c{m}^2$