Question

Find the total area of figure 1 shown alongside.

Answer 1

Step-by-step explanation:

Given: Figure

To find: Area of given figure.

Solution: The figure can be divided into 3 parts; 1 Rectangle and two semicircles.

1)As ABCD is a rectangle with length 15 cm and breadth 7 cm.

Area of ABCD: Length×Breadth

=15×7

=105 sq-cm

2) Area of semicircle, having BC as diameter

Area of semicircle= πr²/2

here

r= 7/2

$= \frac{22}{7} \times \frac{1}{2} \times \frac{7}{2} \times \frac{7}{2} \\ \\ = \frac{77}{4} \\ \\ \bold{ Area\:of\:semicircle1= 19.25\: {cm}^{2} }$

3) Area of semicircle, having CD as diameter

Area of semicircle= πr²/2

here

r= 15/2

$= \frac{22}{7} \times \frac{1}{2} \times \frac{15}{2} \times \frac{15}{2} \\ \\ = \frac{22 \times 225}{56} \\ \\ \bold{ Area\:of\:semicircle2= 88.39 \: {cm}^{2} }$

Area of figure is: Area of ABCD+Area of semicircle 1+Area of semicircle 2

$= 105 +19.25+88.39\\\\= 212.64 {cm}^{2}$

Thus,

Area of given figure is 212.64 sq-cm.

Hope it helps you.

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Answer 2

Answer:

212.64cm² is the answer