Jerry has two same size circles divided into same number of equal parts. One circle has 3/4 of the party shaded and the other has 2/3 of the part shaded. His sister says the least number of pieces each circle could be divided into is 7. Is his sister correct ? Explain
Solution:
The Statement about two circles is :
1. The two circles are congruent.
2. Let One circle be \(C_{1}\) and another circle be \(C_{2}\).
Shaded Part of \(C_{1}\)= \(\frac{3}{4}\)
It means three out of four parts is Shaded.
Non Shaded part of \(C_{1}\)=1 - \(\frac{3}{4}\)= \(\frac{1}{4}\)
Shaded Part of \(C_{2}\)= \(\frac{2}{3}\)
It means two out of three part is Shaded.
Non Shaded part of \(C_{1}\)=1 - \(\frac{2}{3}\)= \(\frac{1}{3}\)
From , Above information we can't draw conclusion that in how many parts or in pieces a circle can be divided.
From , my point of view his sister is incorrect.
If we want to divide a circle , it totally depends on us in how many parts we want to divide it. So, we can't predict the least number.