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BECE Mathematics 2019 Paper

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Question : 24

Total: 40

Find the diameter of a circle whose circumference is 88 cm . [Take

\pi=227

14 cm
22 cm
28 cm
82 cm

Solution:

Concept:

The circumference of a circle is the distance around it, given by

C = \pi \times \text{diameter}

.

Explanation:

Here, circumference

C = 88

cm and

\pi = \frac{22}{7}

.

We know

C = \pi d

, where

d

is the diameter.

So,

88 = \frac{22}{7} \times d

.

Multiply both sides by 7:

88 \times 7 = 22 \times d

.

Divide both sides by 22:

d = \frac{88 \times 7}{22}

.

Since

88 \div 22 = 4

, we get

d = 4 \times 7 = 28

.

Therefore, the diameter is

28

cm.

Answer:

C. 28 cm

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