Question

find the ratio of the area of a semicircle formed on the diagonal of a square side 14 cm to that of the semicircle formed on the side of square

Answer 1

Answer:

2:1

Step-by-step explanation:

Given a square whose side 's' is 14 cm

Diagonal of a square will be s√2 = 14√2 cm..

If diameter 'd' is given,

Area of semicircle is given by πd²/8

So, Area of a semicircle formed on the diagonal of a square, A₁

= π*(14√2)²/8

=π*7²

So, Area of a semicircle formed on the side of a square, A₂

= π*14²/8

=π*7²/2.

Ratio A₁:A₂ = 2:1.

Thus, the ratio of the area of a semicircle formed on the diagonal of a

square side 14 cm to that of the semicircle formed on the side of square

is 2 : 1

Answer 2

Answer:

2:1

Step-by-step explanation:

Length of side of square = 14 cm

Length of diagonal of square = 14root2 cm