the radii of two circles are 19 CM and 9cm respectively. find the radius of the circle which has circumstances equal to the sum of the circle circumference of the two circles
Answers
Answer:
Solution:
Using the formula of the circumference of circle C = 2πr, we find the radius of the circle.
Radius (r₁) of the 1st circle = 19 cm
Radius (r₂) of the 2nd circle = 9 cm
Let the radius of the 3rd circle be r.
Circumference of the 1st circle = 2πr₁ = 2π (19) = 38π
Circumference of the 2nd circle = 2πr₂ = 2π (9) = 18π
Circumference of the 3rd circle = 2πr
Given that,
Circumference of the 3rd circle = Circumference of the 1st circle + Circumference of the 2nd circle
2πr = 38π + 18π
2πr = 56π
r = 56π/2π
r = 28
Therefore, the radius of the circle that has a circumference equal to the sum of the circumference of the two given circles is 28 cm.
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Here is your answer mate,
Question,
the radii of two circles are 19 CM and 9cm respectively. find the radius of the circle which has circumstances equal to the sum of the circle circumference of the two circles
Answer,
Given,
radius of 1st circle =19 cm
radius of 2nd circle =9 cm
Answer,
- Radius of required circle is 28cm
- For process
Please check the attachment