If the circumference of a circle is 110 cm- then its diameter isA- 40 cmB- 20 cmC- 30 cmD- 35 cm

The correct option is D 35 cmCircumference=110 cm=2π r ⇒ 2r = 110/π ⇒ 2r = 110 × 7/22 ⇒ 2r = 35 cm We know that, Diameter = 2 × Radius or, d = 2r = 35 cm ...

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Standard IX

Mathematics

Circumference of a Circle

If the circum...

Question

If the circumference of a circle is 110 cm, then its diameter is .

40 cm

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20 cm

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30 cm

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35 cm

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Solution

The correct option is D 35 cm
$Circumference = 110 c m = 2 π r$
$\Rightarrow 2 r = \frac{110}{π}$
$\Rightarrow 2 r = \frac{110 \times 7}{22}$
$\Rightarrow 2 r = 35 c m$

We know that,
Diameter = 2 $\times$ Radius
or, d = 2r = 35 cm

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Q. Find the circumference and the area of a circle of diameter 35 cm.

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If the circumference of a circle is 110 cm, then its diameter is .

The correct option is D 35 cmCircumference=110 cm=2πr ⇒2r=110π ⇒2r=110×722 ⇒2r=35 cm We know that, Diameter = 2 × Radius or, d = 2r = 35 cm

The correct option is D 35 cm
$Circumference = 110 c m = 2 π r$
$\Rightarrow 2 r = \frac{110}{π}$
$\Rightarrow 2 r = \frac{110 \times 7}{22}$
$\Rightarrow 2 r = 35 c m$

We know that,
Diameter = 2 $\times$ Radius
or, d = 2r = 35 cm