The diameters of two circles with centres A and B are 16 cm and 30 cm respectively. If area of a circle with centre C is equal to sum of areas of the other two circles, then the circumference of the circle with centre C is
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Answered by
12
106.8141. The solutions goes like this:
We first find out the areas of the two circles A and B
Area of A = pi×r² which is pi×8². The area is 201.061
Similarly we find the area of circle B which is 706.85.
Now we add these areas to find the area of circle C. C = A+B = 907.919
We already know the formula of area of a circle that is pi×r². Using this formula we find the value of r.
Area of C = pi×r²
r²=Area of C/pi. The value of r results as 16.999 or 17.
Don't forget to shift the ² sign and find the root value.
Now we apply the formula of circumference of a circle that is 2×pi×r. The final value that we get is 106.814.
If you guys have any doubts then do let me know.
We first find out the areas of the two circles A and B
Area of A = pi×r² which is pi×8². The area is 201.061
Similarly we find the area of circle B which is 706.85.
Now we add these areas to find the area of circle C. C = A+B = 907.919
We already know the formula of area of a circle that is pi×r². Using this formula we find the value of r.
Area of C = pi×r²
r²=Area of C/pi. The value of r results as 16.999 or 17.
Don't forget to shift the ² sign and find the root value.
Now we apply the formula of circumference of a circle that is 2×pi×r. The final value that we get is 106.814.
If you guys have any doubts then do let me know.
Hashlord:
do you want me to solve the problem on paper and send a picture to you? you'll understand it better that way.
Answered by
14
area=πr²
diameter of 1st circle =16cm
radius=16/2=8cm
area=(22/7)(8)²
(22/7)(64)
201.14cm²
diameter of 2nd circle =30cm
radius=30/2=15cm
area=(22/7)(15)²
(22/7)(225)
78.57cm²
diameter of 1st circle =16cm
radius=16/2=8cm
area=(22/7)(8)²
(22/7)(64)
201.14cm²
diameter of 2nd circle =30cm
radius=30/2=15cm
area=(22/7)(15)²
(22/7)(225)
78.57cm²
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