An arc on a circle, whose length is 19.25 cm, subtends an…

An arc on a circle, whose length is 19.25 cm, subtends an 18° angle at the centre. What is the area of the circle? [Use $\pi=\frac{22}{7}$ ]

Show answer & explanation

Correct answer: D

Explanation

The correct answer is option 4 i.e. 11790.625 cm²

360° corresponds to a perimeter of 2πR

⇒ 18° corresponds to = 2πR × $\frac{18}{360}$

According to the question

2πR × $\frac{18}{360}$ = 19.25

⇒ R = $\frac{2695}{44} = 61.25$

Area of circle = πR² = $\frac{22}{7}$ × (61.25)² = 11,790.625 cm²

SSC CGL 2023 PYQ — Question 61