Question

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

Answer 1

Answer:

Circumferene of circle = 2πr

given, circumference exceeds its diameter by 30 meters

i.e, 2πr = d+30. But, diameter(d) = 2r

2πr = 2r+30 => 2r(π-1) = 30 => r((22/7)-1) = 15

r = 15*(7/15) = 7cms

Step-by-step explanation:

now i have given answer mark me as brainlist

Answer 2

Answer:

Given:

$Circumference = Diameter +30$

Solution:

$\boxed{\boxed{Circumference = 2\pi r}}$

$\therefore Circumference = 2\pi r$

$\boxed{\boxed{Diameter = 2r}}$

$\therefore Diameter = 2r$

Using the relation:

$\implies 2\pi r = 2r + 30$

$\implies \pi r = r + 15$

$\implies r (\pi - 1) = 15$

$\implies r\left(\dfrac{22}{7} - 1\right) = 15$

$\implies \dfrac{15r}{7} = 15$

$\implies r = 15 \times \dfrac{7}{15}$

$\boxed{\implies{\boxed{r= 7 \ cm}}}$