Class 7 Area of a Circle — practice questions with answers

Perimeter and Area · 5 sample questions from the school syllabus. Try each one, then open the answer and the worked solution.

1. What is the formula for the area of a circle of radius r?

Api*r²
B2*pi*r
Cpi*d
D $\frac{π r ^{2}}{2}$

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Answer: A) pi*r²

The area of a circle is given by A = pi*r², while 2*pi*r is its circumference.

2. The area of a circle is 38.5 cm². Its diameter (taking pi =

\frac{22}{7}

) is:

A7 cm
B3.5 cm
C14 cm
D11 cm

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Answer: A) 7 cm

pi*r² = 38.5, r² =

\frac{38.5 \times 7}{22}

= 12.25, r = 3.5 cm, so diameter = 7 cm.

3. A semicircular protractor has diameter 14 cm. Find its area. (Take pi =

\frac{22}{7}

)

A77 cm²
B154 cm²
C38.5 cm²
D44 cm²

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Answer: A) 77 cm²

Radius = 7 cm. Semicircle area =

\frac{1}{2}

\frac{22}{7}

*7*7 =

\frac{154}{2}

= 77 cm².

4. Two circular dosas are cooked on a tava.
The smaller has radius 7 cm and the larger has radius 21 cm.
How much greater is the area of the larger dosa? (Take pi =

\frac{22}{7}

)

A1232 cm²
B1386 cm²
C616 cm²
D924 cm²

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Answer: A) 1232 cm²

Small =

\frac{22}{7}

*7*7 = 154 cm². Large =

\frac{22}{7}

*21*21 = 1386 cm². Difference = 1386 - 154 = 1232 cm².

5. A circle and a square have equal perimeters (the circle's circumference equals the square's perimeter).
The square has side 11 cm.
Find the area of the circle. (Take pi =

\frac{22}{7}

)

A154 cm²
B121 cm²
C176 cm²
D88 cm²

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Answer: A) 154 cm²

Square perimeter = 4*11 = 44 cm. So 2*pi*r = 44 gives r =

\frac{44 \times 7}{2 \times 22}

= 7 cm. Circle area =

\frac{22}{7}

*7*7 = 154 cm².

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