Question

the circumference of a circle exceeds its diameter by 30 cm find the radius of the circle​

Answer 1

Answer:

• radius of the circle=r=d÷2=30÷2=15

Answer 2

Step-by-step explanation:

Given that,

Circumference of the circle exceeds its diameter by 30

Let diameter of the circle be 'd' and radius of the circle be 'r'

We know that,

Circumference of the circle is 2πr

Therefore,

According to the Problem,

Circumference = d + 30

=> 2πr = 2r + 30. [Since diameter = 2* radius]

=> 2 πr - 2r = 30

=> 2r(π - 1) = 30

=> r(3.14 - 1) = 15. [ Since π = 3.14]

=> r* 2.14 = 15

=> r = 15/2.14

=> r = 7.009 cm

=> r ≈ 7 cm.

Therefore, radius of the circle is 7 cm.

Verification:

Circumference = 2*π*7 = 44 cm

Diameter = 2*7 = 14 cm

Therefore,

Diameter + 30 = 14 + 30 = 44 = Circumference of the circle.(Verified)

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