Question

The American Hockey Federation organized a friendly hockey match between America and
Australia on a circular ground. The income of this match shall be donated to an
rectangular turf is spread on the ground as shown in figure.
7.
orphanage. A
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{d} 80 m
{d} 15 m
Answer the following Questions:-
{i} Find the diagonal of the rectangular turf.
{a} 50 m
{b} 60 m
{C} 70 m
{ii} Find the radius of circular ground.
{a} 25 m
{b} 50 m
{C} 30 m
{iii} Find the area of rectangular ground.
{a} 1000 m2
{b} 1200 m²
{iv} Find the area ( in m2) of stadium.
{a} 1500 mm
{b} 2000 m m?
{v} Write the formula to find the perimeter of circle.
{a} Tr
{b} 2 nr
{
Or
{c} 1500 m2
{d} 1600 m2
{C} 625 m
{d} 3000 n m?
C} nr 2
{d} īr/2​

Answer 1

Given : A  rectangular turf is spread on the circular ground

rectangle = 60 m x 80 m

To Find :

the diagonal of the rectangular turf.

the radius of circular ground.

the area of rectangular ground.

area of stadium

perimeter of circle.

Solution:

rectangle is inside circle hence

Diagonal would be Diameter

Diagonal = √60² + 80² = 100 m

the diagonal of the rectangular turf. = 100 m

Diameter = 100 m

Radius = Diameter/2 = 100/2 = 50 m

the radius of circular ground. = 50 m

the area of rectangular ground. = 60 x 80 = 4800 m²

area of stadium = πr² =  π(50)² = 2500π m²

perimeter of circle. = 2πr  = 2 π (50) = 100π  m

Learn More:

rectangular turf is spread on the ground

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