SSC CPO 2024 PYQ — Question 107

The correct answer is option 1 i.e. 770 cm².

Given that, radius of sector = 35 cm

Angle subtended by arc, $\theta$ = 72°

Area of sector = ${\theta \over 360^0} \times {\pi r ^2}$

According to the given question,

Area of sector = ${72^0 \over 360^0} \times {{22 \over 7} \times 35 ^2}$

⇒ ${1 \over 5} \times {{22 \over 7} \times 35 \times 35}$

⇒ 22 × 35 = 770

Hence the area of the given sector is 770 cm².