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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:

Circumference of a circle

=2\pi r

Diameter

=2 \times

radius

=2r

\Rightarrow

Circumference

=\pi \times

diameter

\pi=\frac{22}{7}

Circumference

=88

\Rightarrow 88=\frac{22}{7} \times \; \text{ diameter }\;

Multiply both sides by 7

88 \times 7 = 22 \times \; \text{ diameter }\;

Divide both sides by 22

\frac{88 \times 7}{22} = \; \text{ diameter }\;

NOTE: 22 goes into 88, 4 times

\;4 \times 7 = \; \text{ diameter }\;

\;28 = \; \text{ diameter }\;

\Rightarrow

the diameter is 28 cm

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