In the boxes, provide a value for side a, side b, and angle C. The value of side a should be between 10 and 20. The value of sid
e b should be between 20 and 30. The value of angle C should be between 20 and 70 (degrees).
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We have been given that in a circle an arc length 10 is intercepted by a central angle of 2/3. We are supposed to find the radius of the circle.
We will use arc-length formula to solve our given problem.
, where,
= Arc length,
= Radius,
= Central angle corresponding to arc length.
Upon substituting our given values in arc-length formula, we will get:
Therefore, the radius of the given circle would be 15 units.