Question

the circumference of a circle exceeds its radius by 37 cm find the diameter of a circle

Answer 1

Answer: 14 cm

Step-by-step explanation:

Let r be the radius of the circle.

Then the diameter of the circle is given by $2r$

and circumference of circle is given by $2\pi r$

According to the question,

$Circumference-radius= 37\\\Rightarrow2\pi r-r=37\\\Rightarrow\ r(2\pi-1)=37\\\Rightarrow\ r(2\cdot 3.14-1)=37\\\Rightarrow\ r(5.28)=37\\\Rightarrow\ r=\frac{37}{5.28}\\\Rightarrow\ r=7.00\ cm$

The diameter of the circle=$2(7)=14\ cm$