the sum of circumference and the radius of the circle is 51cm,find the radius of the circle
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Answered by
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circumference of the circle=2*pi*r
radius of the circle =r
therefore, radius + circumference of the circle = r+2*pi*r
=> r(2*pi + 1) = 51
=> r = 51/(2*pi + 1)
=> now taking the value of pi as 3.14 and substituting it we get,
=> r = 51/(2*3.14 + 1)
=> r = 51/7.28
therefore, r = 7.005cm
therefore radius of the circle= 7.005 cm
radius of the circle =r
therefore, radius + circumference of the circle = r+2*pi*r
=> r(2*pi + 1) = 51
=> r = 51/(2*pi + 1)
=> now taking the value of pi as 3.14 and substituting it we get,
=> r = 51/(2*3.14 + 1)
=> r = 51/7.28
therefore, r = 7.005cm
therefore radius of the circle= 7.005 cm
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Answered by
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Question:-
The sum of circumference and the radius of the circle is 51cm,find the radius of the circle
Solution:-
we know that
=> radius = r , π = 22/7 = 3.14
=> circumference of circle
= 2 × π × r
According to que.
=>circumference of circle + radius
= 51 cm
=> ( 2 × π × r ) + ( r ) = 51
=> 2 × 3.14 × r + r = 51
=> 6.28 × 2r = 51
=> 2r = 51/6.28
=> 2r = 8.121019108
=> r = 8.121019108/2
=> r = 4.060509554 cm
=> r = 4.06 cm
Hence radius of circle is 4.06 cm
i hope it helps you.
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