Find the area of a circle whose diameter is 7 cm . [Take π=\;22/7 ]

Correct Answer is : 38 12 cm2\;\; 38\;1/2\ {cm}²3821 cm2

Correct Answer is : 38 12 cm2\;\; 38\;1/2\ {cm}²3821 cm2

Test Index

BECE Mathematics 2016 Paper

Question : 28

Total: 40

\pi=\;\frac{22}{7}

Solution:

Area of a circle

=\pi r^2

Area of a circle

=\pi \times r \times r

Radius is half of the diameter

Radius

=\;\frac{7}{2}

\pi=\;\frac{22}{7}

Area of circle

=\;\frac{22}{7} \times \;\frac{7}{2} \times \;\frac{7}{2}

Note: 2 divides itself once and 22, 11 times and the 7 at the denominator cancels one of the 7 s at the numerator

Area of circle

=\;\frac{11 \times 7}{2}=\;\frac{77}{2}=38\;\frac{1}{2}

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