Question

1)The ratio of the area of two circle is 49 : 36 . find the ratio of their radii .
2) A wire is in a circular shape of diameter 56 cm . if it is rebent into from of a square, find the area of square in enclosed by it .which figure enclose more area , circle or square and by how much ?​

Answer 1

Answer:

1) 7:6

2)1936 cm²

Step-by-step explanation:

Soln. 1) Ratio of area = πr²/πR²=(r/R)².

We are having (r/R)²= (49/36)

So, we can write r÷R= 7/6

So, Answer is 7:6.

Soln. 2) Diameter of circular shape is 2r= 56 cm. So, total length i.e. circumference will be 2πr= 176 cm. Now, when it's bent in a square it's length is not going to change which will be 176 cm and will be equal to 4a i.e. the perimeter of square. Therefore side will be, a= 44 cm. And area will be a²= (44)² = 1936cm²