Nancy has to cut out circles of diameter 1 3/ 7 cm from an aluminium strip of dimensions 7 1/ 7 cm by 1 3/ 7 cm . How many full circles can Nancy cut?
Mathematics · College · Mon Jan 18 2021
llm
Answered on
Length of aluminum strip =
7 1/7 = 50/7
width of aluminum strip =
1 3/7 =10/7
Area of strip =
length x width = 50/7 x 10/7
= 500/49
=10.20
Diameter of circle =
1 3/7= 10/7
Radius of circle =
10/7 x ½ = 10/14
= 5/7
Area of circle = pi r^2
= 22/7 x (5/7)^2
= 1.60 cm2
No. of circles can be cut =
10.20/1.60
= 6.375
So, Nancy can cut 6 full circles