Question

The ratio between the diameter of two circles is 3:5 find the ratio between thier areas please show explanation also and don't spam​

Answer 1

Answer:

3:5

Step-by-step explanation:

let the diameter be x

then diameter of 1st circle (d1) = 3x

diameter of 2nd circle (d2) = 5x

then radius of 1st circle = 3x/2

radius of 2nd circle= 5x/2

then area of 1st Circle= π × 3x/2 ×3x/2= π × 9x^2/4

area of second circle= π× 5x/2 × 5x/2 = π × 25x^2/4

so ratio of areas = (π × 9x^2/4) / (π × 25x^2/4)

= 9/25 = 3/5

so the ratio of the area of the two circles= 3:5

please please mark as brainliest

Answer 2

$\underline{\red{\sf Given :-}}$

• Ratios of diameters of two circles is 3:5

$\underline{\red{\sf To\:Find :-}}$

• Ratio of areas of ∆.

$\underline{\red{\sf Solution :-}}$

Let the given ratio be 3x : 5x.

As we know that area of ∆ is ,

$\boxed{\blue{\bf Area_{circle}=\pi\bigg(\dfrac{d}{2}\bigg)^2}}$

$\sf \implies A_1:A_2=\pi \bigg(\dfrac{3x}{2}\bigg)^2 : \pi \bigg(\dfrac{5x}{2}\bigg)^2\\\\\sf\implies A_1:A_2= \dfrac{9x^2}{4}:\dfrac{25x^2}{4} \\\\\boxed{\green{\sf \leadsto A_1:A_2=9:25 }}$