Question

WORKSHEET-2

Answer 1

Answer:

1. $\frac{C}{D}$ = 3.143

2. Circumference

3. Area of the circle is 3850 $cm^{2}$.

   ii. Circumference of the circle is 220 cm.

Step-by-step 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 = $\frac{D}{2}$

so that,

C = 2$\pi$$\frac{D}{2}$

C = $\pi$D

$\frac{C}{D}$ = $\pi$

   = $\frac{22}{7}$

   = 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}$

   = $\frac{22}{7}$ x $(35)^{2}$

   = $\frac{22}{7}$ x 1225

   = 22 x 175

A = 3850

Area of the circle is 3850 $cm^{2}$.

C = 2$\pi$r

   = 2 x $\frac{22}{7}$ x 35

   = 2 x 22 x 5

   = 220

C = 220 cm

Circumference of the circle is 220 cm.