I am a student and I need help answering this question on arcs and sectors.
Question:
The sector has an angle of 35°. The arc length is 20cm. Find the circumference and radius of the whole circle.
Thank you and help is appreciated
2026-03-27 15:35:45.1774625745
Arcs and sectors question
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Obviously, the ratio between the arc length of the circle and the arc length of the sector is $360:35$.
Hence, it follows that the arc length of the circle (Let's denote this by $C$) is given by: $$C=20\times \frac{360}{35}$$
(I'll let you simplify the fraction)
From this, you can algebraically find the radius $r$ by using the formula for the circumference of a circle: $$C=2\pi r$$