The diagram shows a square with side length $$\(8 \mathrm{~cm}\)$$ and a sector of a circle with radius $$\(9.5 \mathrm{~cm}\)$$ and sector angle $$\(x^{\circ}\)$$. The perimeter of the square is equal to the perimeter of the sector. Calculate the value of $$\(x\)$$. $$\[ x= ............................................ \]$$
Exam No:0580_w20_qp_41 Year:2020 Question No:4(d)
Answer:
\(78.4\) or \(78.37\) to \(78.41\)
Knowledge points:
E5.2 Carry out calculations involving the perimeter and area of a rectangle, triangle, parallelogram and trapezium and compound shapes derived from these.
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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