Math, asked by SyedIftikhar, 1 year ago

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

Answers

Answered by Hashlord
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.

Hashlord: do you want me to solve the problem on paper and send a picture to you? you'll understand it better that way.
SyedIftikhar: yes please send but urgent
Hashlord: i dont think i can do that in edit answer. so here it goes....after adding the areas of A and B you get the area of C. Now after finding the Area of C....you apply the same formula of area of circle that is pi×r²=Area of circle C.... as the area of circle C is already known...we get the value of r that is radius of C. We can put this value of radius in the formula of circumference of a circle to find the circumference of circle C
Hashlord: did you understand it now?
SyedIftikhar: 7663948595 it is my no. you can send pic on whatapp
SyedIftikhar: no
SyedIftikhar: my dought is area of c
Hashlord: i have sent you the solution....do have a look at it and i suggest you delete your number
SyedIftikhar: thnxx
akashmorawalia: There is difference that area of circle is equal to the difference of areas of the other two circles
Answered by MitanshuG
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


Hashlord: the area of second one looks wrong to me. please check it
SyedIftikhar: Yes wrong . But thnxxx for helping ...
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