(a) In the diagram, XY is a chord of a circle of radius 5cm. The chord subtends an angle 96° at the centre. Calculate, correct to three significant figures, the area of the minor segment cut-off. (Take ). (b) The figure shows a circle inscribed in a square. If a portion of the circle is shaded with some portions of the square, calculate the total area of the shaded portions. [Take ].
Explanation
(a) Area of minor sector = = = Area of triangle formed from the sector = = = = (b) Area of minor sector = = = Area of the square = Area of the circle = Area of the shaded portion in the square = Total area of the shaded portions = =