Solid Mensuration

Geometry Level 2

Find the area of the largest circle which can be cut from a square of edge 2 centimeters. What is the area of the material wasted in cm^2?


The answer is 0.86.

Khristian Lloyd Mag-usara by Khristian Lloyd Mag-usara , 27

This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try refreshing the page, (b) enabling javascript if it is disabled on your browser and, finally, (c) loading the non-javascript version of this page . We're sorry about the hassle.

2 solutions

The area of material wasted is equal to the area of the square minus the area of the circle. We have

A W = s 2 − π 4 d 2 = 2 2 − π 4 ( 2 2 ) = 4 − π 4 ( 4 ) = 4 − π ≈ A_{W}=s^2-\dfrac{\pi}{4}d^2=2^2-\dfrac{\pi}{4}(2^2)=4-\dfrac{\pi}{4}(4)=4-\pi \approx 0.8584 \boxed{0.8584}

0 Helpful 0 Interesting 0 Brilliant 0 Confused

Area of Circle: A C=πr^2 A C=π〖 (1 cm)〗^2=1π 〖cm〗^2=3.14 〖cm〗^2

Area of Square: A S=(a)^2 A S=(2 cm)^2=4 cm^2

Area of Wasted Material: A W=A S-A C=4-3.14 A W= .86 cm^2

0 Helpful 0 Interesting 0 Brilliant 0 Confused

1 pending report

Vote up reports you agree with

×

Problem Loading...

Note Loading...

Set Loading...