A circular park has a radius of

MATHEMATICS · Multi-part · CBSE · Mathematics · Trigonometric Functions · Trigonometric Functions

Problem

A circular park has a radius of 14 cm14\,\text{cm}. A gardener marks off an arc on its boundary measuring 21 cm21\,\text{cm} in length. (i) Find the measure of the central angle subtended by the marked arc in radians. (ii) Convert the angle obtained in part (i) to degrees. (iii) What fraction of the complete circumference does the marked arc represent? Express your answer in simplest form.

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