The circumference of 2 circles are in the ratio of 2:3.find ratio of their area
Answers
Answered by
2
Answer:
Hope it helps you mark as brainliest please
Attachments:
Answered by
1
Answer:
4/9
Step-by-step explanation:
circumference of a circle = 2πr
Area of a circle = πr^2
Let the radii of the two given circles be 'r' and 'R'.
Given, 2πr/ 2πR = 2/3
By cancelling 2π in numerator and denominator, we get,
r/R = 2/3
By squaring on both sides,
r^2/ R^2 = 4/9
Multiply the numerator and denominator of LHS by π, to make an equivalent fraction and get it in the form of area formula, i.e., πr^2.
Hence, πr^2/ πR^2 = 4/9
So, the ratio of areas of circles = 4/9
Similar questions
Math,
6 months ago
Accountancy,
6 months ago
Math,
1 year ago
Math,
1 year ago
Biology,
1 year ago
Social Sciences,
1 year ago