The complete question suggests that the radius of the circle is ; 7 units
The value of x from the image given can be evaluated as; x =2
Length of an arc
The length of the arc subtended by the radius of a circle at 70° in which case, the radius is 8x +30 is;
Length of arc= (70/360) × 2π × (8+3x)
Similarly, the length of arc which subtends angle 70 ×2 = 140° at the center of the given circle is;
- Length of arc = (140/360) × 2π × 7
By solving simultaneously, we have;
(70/360) × 2π × (8+3x) = (140/360) × 2π × 7
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