Question

A wiper blade of a car is of length 24 cm sweeping through an angle of begin mathsize 18px style text 120° end text end style. The total area cleaned at one sweep of the blade is​

Answer 1

Answer:

$A=603.18\ cm^2$

Step-by-step explanation:

The length of a blade, r = 24 cm

The sweeping angle is 120°.

We need to find the total area cleaned at one sweep of the blade. The area of sector is given by :

$A=\dfrac{\theta}{360}\times \pi r^2$

$A=\dfrac{120}{360}\times \pi \times 24^2\\\\=603.18\ cm^2$

So, the total area cleaned at one sweep of the blade is $603.18\ cm^2$.