Question

what is the area of a semicircle whose diameter is 20 CM​

Answer 1

Step-by-step explanation:

First, observe the formula for calculating the area of a circle:

A

=

π

r

2

Where:

A

is the area of the circle

π

is the irrational number

3.14159

...

r

2

is the square of the radius of the circle.

Since the radius is half of the diameter:

r

=

d

2

⇒

20

2

⇒

10

∴

r

2

=

10

2

=

100

Returning to our original equation:

A

=

100

π

=

314.16

cm

2

to 5

Answer 2

$\huge\underline\mathrm{GivEn:-}$

Diameter of semicircle = 20 cm

$\huge\underline\mathrm{To \: Find:-}$

Find the area of semicircle = ?

$\huge\underline\mathrm{SoLutioN:-}$

We have given the diameter of semicircle is 20 cm

$\rm<strong> </strong>{Radius =}<strong> </strong>$$\large{\rm {\frac{Diameter}{2}}}$ = $\large{\rm {\frac{20}{2}}}$

$\rm<strong> </strong>{Radius =}<strong> </strong>$10 cm

We know that, the formula to find the area of semicircle is :- $\frac{\pi {r}^{2} }{2}$

Now, putting the values in the formula

$\implies$$\rm{Area = }$$\large \frac{ \frac{22}{7} \times {10}^{2} }{2}$

$\implies$$\rm{Area = }$$\large \frac{22 \times 100}{7 \times 2}$

$\implies$Area = 157.14 cm²