Question

if the circumference of circle is increased by 50% find increased area

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Answer 1

Answer:

Circumference of circle = $2 × \pi× r$

if it is increased by 50% ;

50 = $2 × \pi × r$

25 = $\pi × r$

r = $25 / \pi$

$area \: = \pi {r}^{2} \\ = \pi \times ( \frac{25}{\pi} ) {}^{2} \\ = \pi \times \frac{25 \times 25}{\pi \times \pi} \\ = \frac{225}{\pi}$

Hope it helps

Answer 2

★ Answer

We know that,

$\Large{\star{\boxed{\sf{Circumference = 2 \pi r}}}}$

Let the circumference of circle be x.

So, Increased total circumference = x + 50/100

→ Increased total circumference = 100x + 50/100

→ Increased total circumference = 50(2x + 1)/100

→ Increased total circumference = 2x + 1/2

Where,

• x is the circumference of the circle.
• r is the radius of the circle.

→ Increased circumference = 2x + 1/2 - x

→ Increased circumference = 2x + 1 - 2x/2

→ Increased circumference = 1/2