Question

8. The perimeter of a circular court-yard is 154 m. The area of the
court-yard is-
(a) 75 cm. (b) 77 cm. (c) 76 cm. (d) 78 cm.​

Answer 1

Answer:

A

Step-by-step explanation:

this is the correct ok

ok bye

Answer 2

Step-by-step explanation:

Given -

Perimeter of a circular court yard = 154 m

To find -

The area of the court yard

Solution -

To find the area, first we have to find the radius of circle.

We know that Perimeter (Circumference) of circle = 2πr

so

$2\pi r = 154 \\ = > \pi r = 154 \div 2 \\ = > \frac{22}{7} r = 77 \\ = > 22r = 77 \times 7 \\ = > 22r = 539 \\ = > r = 539 \div 22 \\ = > r = 24.5$

Hence radius = 24.5 m

Now area of circle = πr²

$area = \pi {r}^{2} \\ = \frac{22}{7} \times 24.5 \times 24.5 \\ = \frac{22}{7} \times \frac{245}{10} \times \frac{245}{10} \\ = 22 \times \frac{35}{10} \times \frac{245}{10} \\ = 11 \times7 \times \frac{245}{10} \\ = \frac{18865}{10} \\ = 1886.5 {m}^{2}$

Hence the area = 1886.5 m².

hope it helps.