Question

If the diameter of a circle is equal to the diagonal of a square.Then the ratio of their areas is?

Answer 1

Answer:

π:2

Step-by-step explanation:

2 × Radius = $\sqrt{side^2 + side^2}$

2R = $\sqrt{2side^2}$

4R² = 2 S²

R² / S² = 2/4 = 1/2

∴Ratio of areas =

πR² : s²

=π 1 : 2

=π:2

Answer 2

Dear Student,

◆ Answer -

Ratio of areas = π/2

● Explanation -

Let d be diameter of circle = diagonal of square = d.

Area of circle is given as -

Area of circle = π × (d/2)^2

Area of circle = πd^2 / 4

Area of square is given by -

Area of square = d^2 / 2

Ratio of areas of circle and square is -

Ratio of areas = (πd^2 / 4) / (d^2 / 2)

Ratio of areas = π/2

Hence, ratio of areas of circle and square is π/2.

Thanks dear. Hope this helps you...