how to find the area of hockey court....radius is 200m
Answers
Answer:
hope this helps u
Step-by-step explanation:
this is the correct answer
Answer:
We need to find the unallocated area within the stadium.
The unallocated area should be = The total circular area of the stadium – Area of the hockey court - Area of the Javelin Range.
The area of circular stadium =
π
×
r
2
=
π
×
200
2
=
40000
π
The area of hockey court (square), we know that the radius of the stadium forms the diagonal of the hockey court.
Therefore the sides of the hockey court will be a =
r
√
2
, (applying Pythagoras Theorem in a square)
Then, the area of the square =
a
2
=
(
r
√
2
)
2
=
r
2
2
=
200
2
2
= 20000
m
2
Javelin Range is a right angled triangle
area of the right triangle =
1
2
×
r
×
r
=
1
2
×
200
×
200
= 20000
m
2
Therefore the unallocated area in the stadium =Total area of stadium – Area of the hockey court – Area of the Javelin Range
=
40000
π
−
20000
−
20000
=
40000
(
π
−
1
)
m
2
The unallocated area within the stadium is
40000
(
π
−
1
)
m
2
.