Question

Sambriddhi bent a rope to form a circle.If she got the circumference of the circle is 30cm more than its diameter. What was the length of the radius?​

Answer 1

easy peasy here we go..

so first circumference = 2π R

now it is given that circumference - 30 cm = Diameter;

Diameter = 2πR - 30 = 2 R { diameter = 2 times Radius}

now solving equations:

2πR -2R = 30

πR - R = 15

R ( π - 1 ) = 15

R ( 22/7 - 1) = 15

R ( 15/7 ) = 15

R = 15 x 7 / 15

R = 7 cm

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Answer 2

Answer:

7.01 cm

Step-by-step explanation:

Circumference = 2πr

=> d + 30 = 2πr

=> 2r + 30 = 2πr

=> 2r(π - 1) = 30

=> 2.14r = 15

=> r = 15/2.14

=> r = 7.01 cm