Question

The circumference of a circle exeeds its diameter by 18cm. Find rhe radius of the circle

Answer 1

Hi, my friend.

Step-By-Step-Explanation:

Given that:

Let the diameter of the circle be 'x' cm

Circumference = 18 + x

We know that

Circumference (C) = 2πr = πd

=> 18 + x = πx

Assuming π = 22/7

=> 18 + x = (22/7)(x)

=> (7/22)(18) + (7/22)x = x

=> (7/22)(18) = (22x/22) - (7x/22)

=> (7/22)(18) = (15x/22)

=> x = (7/22)(18)(22/15)

Hence x = 8.4 cm

Hence diameter is 8.4 cm.

Hence radius = 8.4/2 = 4.2 cm.

Hence radius is 4.2 cm.

Harith

Maths Aryabhatta