Question

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

Answer 1

Answer:

the radius of the circle is 15cm

Answer 2

Step-by-step explanation:

Let diameter be= x cm

Then circumference= (x+30)cm

If diameter= x, then radius=

$\frac{x}{2}$

We know,

circumference of a circe=

$2\pi \: r$

Or =

$x + 30 = 2\pi \: r$

or

$x + 30 = 2 \times \frac{22}{7} \times \frac{x}{2}$

or

$x + 30 = 2 \times \frac{11}{7} \times x$

or

$x + 30 = \frac{22}{7}x$

or

$30 = \frac{22}{7} x - x$

or

$30 = \frac{15}{7} x$

or

$x = 30 \times \frac{7}{15}$

x=14cm.

therefore raidus = 14/2= 7cm