Any math teacher or expert ? Answer my question plsss ... I will mark answer as brainliest ... I am asking this question second time
Answers
Answer:
1 : 8 : 16
Step-by-step explanation:
Given that the diameter of three concentric circles = 1:3:5.
Let the diameter of three concentric circles be x,3x and 5x.
Therefore, radii of three circles are (x/2), (3x/2), (5x/2) (or) x, 3x and 5x.
(i)
Area of innermost region,A₁ = Area of innermost circle = πx².
(ii)
Area of middle circle,A₂ = Area of middle circle - Area of innermost circle
= π(3x)² - πx²
= 9πx² - πx²
= 8πx²
(iii)
Area of Outer region, A₃ = Area of outer circle - Area of middle circle
= π(5x)² - π(3x)²
= 25πx² - 9πx²
= 16πx²
∴Required ratio of the area of three regions = A₁:A₂:A₃
= πx² : 8πx² : 16πx²
= 1 : 8 : 16.
Hope it helps!
Given that the diameter of three concentric circles = 1:3:5.
Let the diameter of three concentric circles be x,3x and 5x.
Therefore, radii of three circles are (x/2), (3x/2), (5x/2) (or) x, 3x and 5x.
(i)
Area of innermost region,A₁ = Area of innermost circle = πx².
(ii)
Area of middle circle,A₂ = Area of middle circle - Area of innermost circle
= π(3x)² - πx²
= 9πx² - πx²
= 8πx²
(iii)
Area of Outer region, A₃ = Area of outer circle - Area of middle circle
= π(5x)² - π(3x)²
= 25πx² - 9πx²
= 16πx²
∴Required ratio of the area of three regions = A₁:A₂:A₃
= πx² : 8πx² : 16πx²
= 1 : 8 : 16.