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Higher June 2023 Paper 2 Q4

EduqasHigherCurrent spec7 marksCircles & SectorsPrisms

4.

(a) The diagram shows a circle inside a square of side 8·2 cm.
Square of side 8·2 cm with a circle touching all four sides; the four corner regions outside the circle are shaded

Diagram not drawn to scale

The sides of the square are tangents to the circle.

Find the area of the shaded region.
You must show all your working. [4]
(b) The diagram shows a parallelogram.
It is the cross-section of a prism.
Parallelogram with base 9·8 cm, slanted side 8 cm and perpendicular height 7 cm shown by a dashed line

Diagram not drawn to scale

The length of the prism is 16 cm.
Find the volume of the prism. [3]
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