Question

If the diameter of a protractor is 8 cm,find its perimeter

Answer 1

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Answer 2

Answer:

Required perimeter is 20.57 cm.

Step-by-step explanation:

Given, the diameter of a protractor is 8 cm.

We know, diameter = two times of radius.

So,

$d = 2r$

For example,

If radius is 20 cm then diameter = $2 \times 20 = 40 \: cm$

Again according to circle's formula,

perimeter of e circle $= 2\pi \: r$

For example, if radius of a circle is 7 cm then perimeter of the circle

$= 2\pi \: \times 7 \\ = 2 \times \frac{22}{7} \times 7 \\ = 2 \times 22 \\ = 44 \: cm$

Here we want to find perimeter of a protector whose diameter is 8 cm .

According to rule,

radius of the protector $= \frac{8}{2} = 4 \: cm$

We know, protector is a half circle and perimeter of a half circle is $(2r + \pi \: r)$

Where r is radius of the protector.

So, perimeter of the protector

$= 2 \times 4 + \frac{22}{7} \times 4 \\ = 8 + \frac{88}{7} \\ = \frac{56 + 88}{7} \\ = \frac{144}{7} \\ = 20.57 \: cm$

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