A figure shows a circle and 2 identical quadrants. The diameter of circle is 28cm.Find the area of shaded part

To solve the problem, we'll break it down step by step:

### Step 1: Understand the figure
- The figure consists of a circle and two identical quadrants.
- The diameter of the circle is given as 28 cm.
- We need to find the area of the shaded part.

### Step 2: Calculate the radius of the circle
- The radius \( r \) of the circle is half the diameter.
\[
r = \frac{28}{2} = 14 \text{ cm}
\]

### Step 3: Calculate the area of the circle
- The area \( A_{\text{circle}} \) of a circle is given by:
\[
A_{\text{circle}} = \pi r^2 = \pi \times 14^2 = 196\pi \text{ cm}^2
\]

### Step 4: Calculate the area of each quadrant
- A quadrant is a quarter of a circle.
- The area \( A_{\text{quadrant}} \) of one quadrant is:
\[
A_{\text{quadrant}} = \frac{1}{4} \times \pi r^2 = \frac{1}{4} \times 196\pi = 49\pi \text{ cm}^2
\]

### Step 5: Calculate the area of two quadrants
- Since there are two identical quadrants:
\[
A_{\text{2 quadrants}} = 2 \times 49\pi = 98\pi \text{ cm}^2
\]

### Step 6: Calculate the area of the shaded part
- The shaded part is the area of the circle minus the area of the two quadrants.
\

Learn how to calculate the area of the shaded part in a circle with two identical quadrants. The diameter of the circle is given, and step-by-step calculations are provided. Suitable for Grades 7-9 students.

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