A rectangular turf spread on the ground as shown in the figure find the radius of the stadium
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Answer:
50m is the answer
Step-by-step explanation:
Bu using Pythagoras theory we can find the diameter.
60² + 80 ² = 3600 + 6400 = 10000
Taking the square root we get, 100 cm as the diameter.
100/2 = 50m
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Given :-
- Length of Rectangular turf = 80 m.
- Breadth = 60 m .
To Find :-
- The radius of the stadium is?
Solution :-
from image we can see that,
→ ABCD = Rectangle .
→ AB = DC = 60 m .
→ CB = 80 m.
→ ∠DCB = 90° . (Each angle of a rectangle is equal to 90°.)
then, in Right ∆DCB, we have,
→ DC² + CB² = BD²
→ 60² + 80² = BD²
→ BD² = 3600 + 6400
→ BD² = 10000
→ BD = √(10000)
→ BD = 100 m
so,
→ Radius of the stadium = BD/2 = 100/2 = 50 m (Ans.)
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