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CIE 9709 2023 June Paper 13 Q6

A Level / CIE / P1

CIE 9709 2023 June Paper 13 Paper · Question 6

题目

Problem

The diagram shows a sector OABOAB of a circle with centre OO and radius rr cm. Angle AOB=1AOB = 1 radians. It is given that the length of the arc ABAB is 9.69.6 cm and that the area of the sector OABOAB is 76.876.8 cm2^2.

(a) Find the area of the shaded region.

[5]

(b) Find the perimeter of the shaded region.

[2]
题目中文翻译

图中显示圆心为 OO、半径为 rr cm 的圆的扇形 OABOAB。角 AOB=1AOB = 1 弧度。已知弧 ABAB 的长度为 9.69.6 cm,扇形 OABOAB 的面积为 76.876.8 cm2^2

(a) 求阴影区域的面积。

[5]

(b) 求阴影区域的周长。

[2]

解答