Question

The circumference of a circle exceds its radius by 37 cm. Find the diameter of
the circle. (use n = 22
7
​

Answer 1

Answer:

14 cm

Step-by-step explanation:

Given,

The circumference of a circle exceds its radius by 37 cm.

circumference of circle is 2*π*r

2*π*r-r=37

2*22/7*r-r=37

r(44-7/7)=37

37*r/7=37

r=7

Diameter=2*r

2*7=14 cm

Answer 2

According to the question,

Circumference = Radius + 37

We know that;

Circumference = 2πr

$:\implies \sf{37 + r = 2 \times \dfrac{22}{7}\times r}$

$:\implies \sf{37 + r = \dfrac{44r}{7}}$

$:\implies \sf{44r = 7(37 + r)}$

$:\implies \sf{44r = 259 + 7r}$

$:\implies \sf{44r-7r=259}$

$:\implies \sf{37r = 259}$

$:\implies \sf{r = \dfrac{259}{37}}$

$\therefore \underbrace{\sf{\overbrace{|r = 7 \: cm|}}}$

$\bf{Diameter = 2\times r}$

$\dashrightarrow \sf{Diameter = 2\times 7}$

$\therefore \boxed{\bf{\underline{Diameter = 14 \:cm}}}$

Know more:

• Circumference of a circle can also be expressed as π × d where d is diameter
• Perimeter of a circle is equal to its circumference.