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9 questions · timed · auto-graded

Question 11 Mark
Find the area of a circle of radius 35 cm.
Answer
Radius $(r)=35 cm$
Area of circle $=\pi r^2=\frac{22}{7} \times 35^2=3850 cm^2$
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Question 21 Mark
Diameter of circular plate is 7 cm . Find its area.
Answer
Diameter $(d)=7 cm$
Then, radius $(r)=\frac{d}{2}=\frac{7}{2} cm$
Area of circle $=\pi r^2$
$
\begin{array}{l}
=\frac{22}{7} \times\left(\frac{7}{2}\right)^2 \\
=\frac{22 \times 7}{4}=38.5 cm^2
\end{array}
$
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Question 31 Mark
What is the radius of circle having circumference 176 cm.
Answer
Circumference of a circle $=2 \pi r$
$
\begin{aligned}
176 & =2 \times \frac{22}{7} \times r \\
\Rightarrow \quad r & =\frac{7 \times 176}{2 \times 22}=28 cm
\end{aligned}
$
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Question 41 Mark
What is the circumference of a circle of radius 7 cm.
Answer
$\text {Circumference of a circle} =2 \pi r $
$ =2 \times \frac{22}{7} \times 7 $
$ =44\text{ cm}$
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Question 51 Mark
Find the height of triangle with base 4 cm and area $12 cm^2$.
Answer
$\text {Area of triangle} =\frac{1}{2} \times \text {Base} \times \text {Height} $
$ 12 =\frac{1}{2} \times 4 \times \text {Height} $
$ \Rightarrow \quad \text {Height} =\frac{12 \times 2}{4}=6\text{ cm}$
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Question 61 Mark
Find the area of triangle with base 5 cm and height 40 cm.
Answer
$\text {Area of triangle} =\frac{1}{2} \times \text {Base} \times \text {Height} $
$ =\frac{1}{2} \times 5 \times 40=100 cm^2$
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Question 71 Mark
Find the base of parallelogram with area $84 m^2$ and height 7 m.
Answer
$\text {Area of parallelogram}= \text {Base} \times \text {Height} $
$ \Rightarrow \text {Base of parallelogram} =\frac{\text {Area}}{\text {Height}} $
$=\frac{84}{7}=12 \text m$
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Question 81 Mark
Find height of parallelogram with base 15 cm and area 105 cm.
Answer
$\text {Area of parallelogram}=\text {Base} \times \text {Height}$
$\Rightarrow \text {Height of parallelogram}=\frac{\text {Area}}{\text {Base}}=\frac{105}{15}=7\text{ cm}$
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Question 91 Mark
Find area of parallelogram with base 10 cm and height 5 cm.
Answer
Area of parallelogram $=$ Base $\times$ Height $=10 \times 5=50 cm^2$
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1 Marks Question - MATHS STD 7 Questions - Vidyadip