The diagram shows two sectors of a circle. The major sector is shaded. The area of the major sector is $$\(74.5 \mathrm{~cm}^{2}\)$$. Calculate the radius of the circle. ........................................ $$\(\mathrm{cm}\)$$

Mathematics
IGCSE&ALevel
CAIE
Exam No:0580_s21_qp_22 Year:2021 Question No:19(b)

Answer:

\(5.17\) or \(5.172\) to \(5.173 \ldots\)

Knowledge points:

E1.3 Calculate with squares, square roots, cubes and cube roots and other powers and roots of numbers.
E5.3.1 Carry out calculations involving the circumference and area of a circle. (Answers may be asked for in multiples of π.)
E5.3.2 Solve problems involving the arc length and sector area as fractions of the circumference and area of a circle.

Solution:

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