if the difference between circumference and radius of a circle is 77 cm find its circumference
Answers
Circumference is 91.6 cm
Step-by-step explanation:
From the formula, we know that
Circumference = 2 x pi x r ............ eq(1)
and radius is represented by "r"
Thus, according to the conditions, we get
77 = 2 x pi x r - r
77 = r ( 2 x pi - 1)
77 = r 5.28
r = 14.6
Now, to find out the circumference, we need to put value of "r" in eq (1)
Circumference = 2 x 3.14 x 14.6 = 91.6
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Given : the difference between circumference and radius of a circle is 77 cm
To find : circumference
Solution:
Let say Radius = R cm
Circumference = 2πR cm
Using π = 22/7
difference between circumference and radius of a circle is 77 cm
=> 2πR - R = 77
Using π = 22/7
=> 2(22/7)R - R = 77
=> 44R - 7R = 77 * 7
=> 37R = 77 * 7
=> R = 77 * 7 /37
Circumference = 2πR
= 2(22/7) ( 77 * 7 /37)
= 2 * 22 * 77 /37
= 91.5 cm
circumference = 91.5 cm
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