Question

16. The radii of two circles are 63cm and 77cm
respectively. How much longer is the circumference
of the second circle than the first?​

Answer 1

Step-by-step explanation:

circumference of first circle =2*(22/7)*63

=396 m

circumference of second circle =2*(22/7)*77

=484 m

difference =484-396

=88

the circumference of second circle is 88m longer than circumference of first circle

Answer 2

Before, finding the answer. Let's find out on how we can find the answer.

• For finding the Cirumference we must use the formula of

$\boxed{ \sf \: Circumference \: of \: Circle = 2\pi r}$

Where,

π = 22/7

• Then, we must Subtract the Cirumference of First Circle and Second Circle.

______________________

Given :

• Radii = 63 cm

To find :

• Circumference of Circle

Solution :

Cirumference of Circle = 2πr

Where,

π = 22/7

$\sf \: First \: Circle = 2 \times \dfrac{22}{7} \times radius$

$\sf = 2 \times \dfrac{22}{7} \times 63$

$\sf = \dfrac{22}{7} \times 126$

$\sf = \dfrac{2776}{7}$

$\sf = 396$

Hence, the Cirumference of First Circle is 392 cm².

Given :

• Radii = 77 cm

To find :

• Circumference of Circle

Solution :

Cirumference of Circle = 2πr

Where,

π = 22/7

$\sf Second \: Circle = 2 \times \dfrac{22}{7} \times radius$

$\sf \: = 2 \times \dfrac{22}{7} \times 77$

$\sf = \dfrac{22}{7} \times 154$

$\sf = \dfrac{3388}{7}$

$\sf = 484$

Hence, the Cirumference of Second Circle is 484 cm².

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How much longer is the circumferenceof the second circle than the first?

Longer = Second Circle - First Circle

= 484 - 392

= 92 cm²

Hence, the second circle is 92 cm² longer than the First Circle.