Answer: The radius of the circle is 162 units.
Step-by-step explanation:
The circumference of the circle is given by :-
[tex]\text{Circumference} = 2\pi r [/tex], where r = radius of the circle.
As per given , we have ,
A circle has a circumference of 1,017.36 units .
From the above formula , we have
[tex]1017.36= 2(3.14) r [/tex]
[tex]\Rightarrow\ 1017.36= 6.28 r [/tex]
[tex]\Rightarrow\ r=\dfrac{1017.36}{6.28}=\dfrac{101736}{628}=162\text{ units} [/tex]
Hence, the radius of the circle is 162 units.
A circle has a circumference of 1,017.36 units that has a radius equal to 162 units.
The circumference of the circle that has a radius of r is defined as the product of diameter to the pie value.
The circumference of the circle = [tex]\rm 2\pi r[/tex]
It is given that
The circumference of the circle is 1,017.36 units
So,
The circumference of the circle = [tex]\rm 2\pi r[/tex]
1,017.36 = 2 (3.14) r
r = 1,017.36/ 6.28
r = 162 unit
Hence, the radius of the circle is 162 units.
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