the ratio of the radii of two circles is 5.6 find the ratio of their circumferences also find the ratio of their areas.​

2 thoughts on “the ratio of the radii of two circles is 5.6 find the ratio of their circumferences also find the ratio of their areas.​”

1. ANSWER:

   Given:

   • Ratio of radii of 2 circles = 5 : 6

   To Find:

   • Ratio of their circumferences
   • Ratio of their areas

   Solution:

   Let the radii of the 2 circles be R1 and R2.

   Similarly, circumferences and areas of the 2 circles be C1, C2, A1 and A2 respectively.

   We are given that,

   ⇒ Ratio of radii = 5:6

   That means,

   ⇒ R1 : R2 = 5 : 6

   ⇒ R1/R2 = 5/6

   We know that,

   ⇒ Circumference of circle = 2πr, and

   ⇒ Area of circle = πr²

   So,

   ⇒ Ratio of circumferences of the 2 circles:

   ⇒ 2πR1 / 2πR2

   ⇒ R1 / R2

   ⇒ 5/6

   ⇒ Ratio of circumferences of the 2 circles = 5 : 6

   Now,

   ⇒ Ratio of areas of the 2 circles:

   ⇒ π(R1)^2 / π(R2)^2

   ⇒ (R1)^2 / (R2)^2

   ⇒ (R1 / R2)^2

   ⇒ (5/6)^2

   ⇒ 25/36

   ⇒ Ratio of areas of the 2 circles = 25 : 36

   Reply

2. Answer:

   25 : 36

   Step-by-step explanation:

   mark me as brainliest

   Reply