(i) Find the area of a circle of radius 21 cm. `[Take pi = (22)/(7)]`
(ii) Find the area of a circle of radius 10 cm. `[Take pi = 3.14]`

Answer

To solve the given problem, we will find the area of two circles using the formula for the area of a circle, which is:

\[ \text{Area} = \pi r^2 \]

where \( r \) is the radius of the circle.

### Part (i): Area of a circle with radius 21 cm

1. **Identify the values**:
- Radius \( r = 21 \) cm
- \( \pi = \frac{22}{7} \)

2. **Apply the formula**:
\[ \text{Area} = \pi r^2 = \frac{22}{7} \times (21)^2 \]

3. **Calculate \( r^2 \)**:
\[ (21)^2 = 21 \times 21 = 441 \]

4. **Substitute \( r^2 \) back into the area formula**:
\[ \text{Area} = \frac{22}{7} \times 441 \]

5. **Simplify the calculation**:
- First, divide \( 441 \) by \( 7 \):
\[ 441 \div 7 = 63 \]
- Now multiply by \( 22 \):
\[ 22 \times 63 = 1386 \]

6. **Final result**:
\[ \text{Area} = 1386 \, \text{cm}^2 \]

### Part (ii): Area of a circle with radius 10 cm

1. **Identify the values**:
- Radius \( r = 10 \) cm
- \( \pi = 3.14 \)

2. **Apply the formula**:
\[ \text{Area} = \pi r^2 = 3.14 \times (10)^2 \]

3. **Calculate \( r^2 \)**:
\[ (10)^2 = 10 \times 10 = 100 \]

4. **Substitute \( r^2 \) back into the area formula**:
\[ \text{Area} = 3.14 \times 100 \]

5. **Perform the multiplication**:
\[ 3.14 \times 100 = 314 \]

6. **Final result**:
\[ \text{Area} = 314 \, \text{cm}^2 \]

### Summary of Results:
- Area of the circle with radius 21 cm: \( 1386 \, \text{cm}^2 \)
- Area of the circle with radius 10 cm: \( 314 \, \text{cm}^2 \)

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