The radius of a circle is $14 ext{ cm}$. What is the area of another circle having radius $1.5$ times the actual circle?

Question

The radius of a circle is $14 	ext{ cm}$. What is the area of another circle having radius $1.5$ times the actual circle?

Accepted Answer

**Solution:**

1. Given the radius of the first circle is $14 	ext{ cm}$.

2. The radius of the second circle is $1.5$ times the first radius:
   $$r_2 = 1.5 	imes 14 = 21 	ext{ cm}$$

3. The area of a circle is given by:
   $$	ext{Area} = \pi r^2$$

4. Using $\pi = \frac{22}{7}$, calculate the area of the second circle:
   $$	ext{Area} = \frac{22}{7} 	imes 21 	imes 21$$

5. Simplify:
   $$= \frac{22}{7} 	imes 441 = 22 	imes 63 = 1386 	ext{ cm}^2$$

**Answer:** $1386 	ext{ cm}^2$

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