Question

what is the length of the radius of a circle if it's circumference is 440 cm take pi. to be 3 1/7​

Answer 1

Answer :-

• The radius of the circle is 70 cm.

To find :-

• The length of the radius of the circle.

Solution :-

• In this question, the circumference of a circle and the value of pi is given to us. We have to find the length of it's radius!

We know that :-

$\underline{ \boxed{\sf Circumference \: of \: a \: circle = 2\pi r}}$

Where,

• r = radius.
• p = pi.

Here,

• pi = 3 1/7.

Let :-

• The radius of the circle be "r" cm.

Substituting the given values in this formula,

$:\longmapsto\tt2 \times 3 \: \dfrac{1}{7} \times r = 440$

$:\longmapsto\tt2 \times \dfrac{22}{7} \times r = 440$

$:\longmapsto\tt \dfrac{44}{7} \times r = 440$

$:\longmapsto\tt r = \dfrac{ \frac{440}{44} }{7}$

$:\longmapsto \tt r = 440 \times \dfrac{7}{44}$

$:\longmapsto\tt r = 10 \times \dfrac{7}{1}$

$:\longmapsto\tt r = 10 \times 7$

$\overline{ \boxed{ :\longmapsto \tt r = 70 \: cm}}$

Hence :-

• The radius of the circle is 70 cm.

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