Question

The area of circular ground measures 5184.127 sq. meters. To play a
cricket match on this ground, find the approximate measure of diameter
of the ground so that the measurements for pitch and the infield boundary
can be fixed​

Answer 1

Answer:

area of circle = πr^2

5184.127 = 22/7 × r^2

5184.127 × 7/22 = r^2

40.6 = r

81.2 = 2r

therefore diameter is 81.2 (approx)

Answer 2

The approximate measure of diameter  of the ground is 81.3 meters.

Step-by-step explanation:

Given : The area of circular ground measures 5184.127 sq. meters. To play a  cricket match on this ground.

To find : The approximate measure of diameter  of the ground so that the measurements for pitch and the infield boundary  can be fixed​ ?

Solution :

The area of the circular ground is $A=\pi r^2$

We have given, A=5184.127 sq. meters.

Substitute in the formula,

$5184.127=3.14\times r^2$

$r^2=\frac{5184.127}{3.14}$

$r^2=1650.99$

$r=\sqrt{1650.99}$

$r=40.63$

The diameter is $d=2r$

$d=40.63\times 2$

$d=81.26$

Therefore, the approximate measure of diameter  of the ground is 81.3 meters.

#Learn more

Area of a circular ground is 3850 sq m. Find the radius of the circular ground.

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