1.

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?

Answer»

<P>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

=> 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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