Question

WORKSHEET-2

7. The natio of the cincumference of the diameter is
2. The distance around a circular region is known as it's
3. Find the area and circumference of circle whose radius is 35 cm
Сло
=2
= 22
Cincumference
AREA​

Answer 1

1.
`(C)/(D)` = 3.143

2. Circumference

3. Area of the circle is 3850
`cm^(2)`.

ii. Circumference of the circle is 220 cm.

Explanation:

The area, A, and the circumference, c, of a circle can be determined respectively by:

A =
`\pi`
`r^(2)`

C = 2
`\pi`r

where r is the radius of the circle.

1. the ratio of the circumference and diameter, D, of a circle is:

r =
`(D)/(2)`

so that,

C = 2
`\pi`
`(D)/(2)`

C =
`\pi`D

`(C)/(D)` =
`\pi`

=
`(22)/(7)`

= 3.143

2. The distance around a circular region is known as it's circumference.

3. Given a circle of radius 35 cm, then:

A =
`\pi`
`r^(2)`

=
`(22)/(7)` x
`(35)^(2)`

=
`(22)/(7)` x 1225

= 22 x 175

A = 3850

Area of the circle is 3850
`cm^(2)`.

C = 2
`\pi`r

= 2 x
`(22)/(7)` x 35

= 2 x 22 x 5

= 220

C = 220 cm

Circumference of the circle is 220 cm.