Question

Find the area of the shaded portion.​

Answer 1

Answer:

Area Of The Shaded Portion = 28 sq. cm

Step-by-step explanation:

The Question Says That⤵️

Find The Area Of The Shaded Portion.

So...To Find the area of the shaded portion, we need to find the area of each quadrant separately, each of whose radius is 8 cm.✅

1️⃣ So...Area Of Quadrant ABC

$= \frac{1}{4}\pi {r}^{2}$

$= \frac{1}{4} \times \frac{22}{7} \times 7 \times 7$

⭕On Cancellation Of 22 by 4 and 7 by 7, we have...

$= \frac{1}{2} \times 11 \times 7$

$= \frac{77}{2} {cm}^{2}$

2️⃣We have 2 such Quadrants I.e., ABC and ADC..Then, the total area will be given by:

$2 \times (area \: of \: each \: quadrant)$

$= 2 \times \frac{77}{2} = 77 {cm}^{2}$

3️⃣ Now, Area Of The Square with side 7 cm

$= {side}^{2} = {7}^{2} = 49 \: {cm}^{2}$

4️⃣ Finally...The area of the shaded Portion will be:

$= (area \: of \: square) - (total \: area \: of \: the \: quadrants)$

$= 77 - 49 \: {cm}^{2}$

$= 28 \: {cm}^{2}$

‼Therefore, Area Of The Shaded Portion = 28 sq. cm.

Hope It Helps...

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Answer 2

Answer:

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