Question

The area of a triangle is equal to the area of a circle whose perimeter is 6π. If the base of the triangle is 8cm,then its corresponding height(in cm) is:
a)2.25π b)2.25
c)π d)2​

Answer 1

Answer:

a) is the correct answer

Answer 2

Step-by-step explanation:

Given

perimeter of circle = 6π

base of triangle = 8cm

formula used

area of triangle = 1/2*b*h

area of circle = πr^2

peeimeter of circle = 2πr

solution

perimeter of circle = 6π

2πr = 6π

r = 3cm

1/2*b*h = πr^2

1/2*8*h = π*9

h = 9π/4

h = 2.25π

hence (a) is correct option.