SSC CHSL 2020 PYQ — Question 56

SSC CHSL - 15th October 2020 - Shift 3 • Quantitative Aptitude • Q56

The area of the largest triangle that can be inscribed in a semi-circle of radius 4 cm (in square centimeters) is

Show answer & explanation

Correct answer: B

Explanation

The correct answer is Option 2 i.e 16 cm2.

Understanding/Application

Radius of the semi-circle = 4cm

The largest triangle inscribed inside the circle will have a base equal to the diameter of the semi-circle and height equal to the radius of the circle.

Area of the triangle = (1/2 × b × h) 

= (1/2 × 8 × 4)

= 16 cm2