Question

If the circumference of a circular sheet is 154m, find the radius. Also find the area of the sheet (take π=22/7​

Answer 1

Answer:

The radius of the sheet is 24.5 m and Area of the sheet is 1886.5 m²

Step-by-step explanation:

Given,

       The circumference of a circular sheet is 154m.

We know that,

The circumference of a circular sheet =

                                                                      $2\pi R\\ \\ 154=2 \cdot \frac{22}{7}\cdot R \\ \\ 44R=154 \cdot 7\\ \\ R=\frac{154 \cdot 7}{44} \\ \\ R=\frac{7 \cdot 7}{2} =\frac{49}{2}$

The area of the sheet=

                                        $\pi R^2\\ \\ =\frac{22}{7}\cdot (\frac{49}{2})^2\\ \\ =\frac{22}{7}\cdot \frac{49}{2}\cdot \frac{49}{2} \\ \\ =\frac{11 \cdot 7 \cdot 49}{2}=1886.5 m^2$