You are standing next to a really big circular lake. You want to measure the diameter of the lake, but you don’t want to have to swim across with a measuring tape ! You decide to walk around the perimeter of the lake and measure it circumference , and find that it’s 400 m. What is the diameter d of the lake?
Answers
Given : a really big circular lake. , perimeter of the lake 400 m
To find : Diameter of Circular Lake
Step-by-step explanation:
Circumference of circle is given by 2 π R
where π = 22/7 or 3.14
R = Radius
Its given that Circumference of circular lake = 400 m
=> 2 π R = 400
=> R = 200/π
=> R = 200 /(22/7)
=> R = 700/11
Radius of Lake = 700/11 m
Diameter of Lake = 2 * Radius
= 2 * 700/11
= 1400/11
= 127.27 m
Diameter of Lake = 127.27 m
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Answer:
The answer is 400 m