Question

If area of quadrant of a circle is 38.5 cm²
then find its diameter.
(use π =
22/7)

Answer 1

Answer:

radius is 7 cm

diameter is 14 cm

Answer 2

If area of quadrant of a circle is 38.5 square centimeter then its diameter is 14 cm

Solution:

Given that area of quadrant of circle = 38.5 $cm^2$

So area of circle = 4 x area of quadrant

= 4 x 38.5 = 154 $cm^2$

Area of circle is given as:

Area = $\pi \mathrm{r}^{2}$

$=>\pi \mathrm{r}^{2}=154$

Given that π = $\frac{22}{7}$

$\mathrm{r}^{2}= \frac{154}{pi}$

$r^{2}=\frac{154}{\frac{22}{7}}$

$\begin{array}{l}{=>\mathrm{r}^{2}=7 \mathrm{x} 7=7^{2}} \\ {=>\mathrm{r}=7}\end{array}$

Diameter = 2 x radius = 2 x 7 = 14.

Hence diameter of circle = 14 cm.