Question

The circumference of a circle is 176 mm. Find the diameter, radius and area. Show your working.

Answer 1

Explanation:

Circumference, C = 2πr

given: c=176mm, π=
`(22)/(7)`

c = 2 x
`(22)/(7)` x r

176 =
`(44)/(7)`r

r =
`(7 *176)/(44)`

r = 28

Area, A = π
`r^(2)`

A =
`(22)/(7)` x
`28^(2)`

A = 2464
`mm^(2)`

Answer 2

Explanation:

Given :

Circumstance = 176 mm

We know that,

C = 2πr

r = C / 2π

r = 176 × 7/ 22 × 2

r = 1232/44

r = 28 mm

Now,

d = 2r = 2(28) = 56 mm

Now,

A = π r²

A = 22/7 × (28)²

A = 22/7 × 784

A = 17248/7

A = 2464 mm²