The diameter of a circle is 7/4 times of the base of a triangle, and the height of the triangle is 14 cm. If the area of the triangle is 56 cm2 , then what is the circumference (in m) of the circle?
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. 0.44 m
The diameter of a circle is 7/4 times the base of a triangle.
diameter of a circle =7/4 x base of a triangle Eq.(i)
height of the triangle is 14 cm. If the area of the triangle is 56 cm2
area of the triangle = 1/2 × base × height
56 = 1/2 × base × 14
4 = 1/2 × base
the base of a triangle = 8 cm Eq. (ii)
Put Eq. (ii) in Eq .(i).
diameter of a circle = 7/4 × 8
= 7 × 2
= 14cm
Circumference of the circle = π × diameter
= 22/7 × 14
= 22 × 2
44 cm
= 0.44m [As we know that 100cm = 1m Then 1cm = 0.01m So 44 cm = 0.01 × 44 = 0.44
m]