Question

if the circumference of a circular sheet is 176 m, find its area please with step​

Answer 1

Answer:

2464m²

Step-by-step explanation:

Circumference =2πr

176=2×22/7×r

r=(176×7)/22×2

r=28m

Area of a circle=πr²=22/7×28×28=2464m²

Answer 2

Answer:

Area of Circle = 3024cm²

Step-by-step explanation:

For finding the circumference, we need to find the radius  of the circle.

► To find the radius

Let the radius be "r"

• $\textbf{Circumference of Circle = 2\pi\ r}$$\textbf{Circumference of Circle = 2}\pi \textbf{r}$

Circumference given = 176m

→ $\textbf{2}\pi\textbf{r = 176}$

→ $\textbf{2 x 22/7 x r = 176}$

• Transposing 22 from L.H.S. to R.H.S, the sign of  operation changes from multiplication to division
• Transposing 7 from LHS to RHS, the sign of operation changes from division to multiplication
• Transposing 2 from LHS to RHS, the sign of operation changes from multiplication to division
• By performing all the three actions mentioned above, we get:

→ $\textbf{r =}\ \bold {\math\frac{176 * 7}{22 * 2}}$

→ $\textbf{r =}\ \bold {\math\frac{8 * 7}{2}}$

→ $\textbf{r =}\ \bold {\math\frac{56}{2}}$

∴ radius = 28cm

• $\textbf{Area of Circle = }\pi \textbf{r}^2$

→ $\bold{\frac{22}{7}}\textbf{x 28 x 28}$

= 3024

∴ Area of Circle = 3024m²