Question

find the area and the perimeter of the following figures

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Answer 1

Given

• Radius= 7cm
• Diameter=14cm

To Find

• Area of Figure
• Perimeter of Figure

Formula Used

$\gray{{ \sf \: Area \: of \: Semicircle= \dfrac{πr²}{2}}}$

$\gray{ \sf{Perimeter \: of \: Semicircle= πr}}$

Solution

$\\\\\sf \: Area \: of \: Semicircle= \dfrac{ \pi {r}^{2} }{2}$

On Subtuting The value

$\implies\sf \: Area \: of \: Semicircle= \dfrac{ \frac{22}{7} \times 7²}{2}$

$\implies\sf \: Area \: of \: Semicircle= \dfrac{ \frac{22}{7} \times 49}{2}$

$\implies\sf \: Area \: of \: Semicircle= \dfrac{ 22\times 7}{2}$

$\implies\sf \: Area \: of \: Semicircle= \dfrac{ 154}{2}$

$~~~\sf \: Area \: of \: Semicircle= 77 {cm}^{2}$

Now,

$\sf Perimeter \: of \: Semicircle= πr$

On Subtuting The value

$\implies\sf Perimeter \: of \: Semicircle= \frac{22}{7} \times 7$

$~~~\sf Perimeter \: of \: Semicircle= 22cm$

• Area of Figure=77cm²
• Perimeter of Figure=22cm