Question

A chord $AB$ of a circle of radius $20cm$ makes a right angle at the centre of the circle. What is the area of the minor segment in $c{m}^2$?

• A. $31.4$
• B. $57$
• C. $62.8$
• D. $114$

Answer 1

The correct option is D $114$

Shaded area
$=\frac{1}{4}\cdot$ area of a circle$-$ area of right angled triangle
$=(3.14\times 100-200)c{m}^2$
$=(314-200)c{m}^2$
$=114c{m}^2$