In the figure opposite, a square of side 8cm is joined edge-to-edge to a semicircle, with centre

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In the figure opposite, a square of side 8cm is joined edge-to-edge to a semicircle, with centre O. P is 2 cm from O on the figure’s axis of symmetry. Points X and Y are fixed but the position of Z is variable on the shape’s perimeter.

a. Find the mean distance from P to X Y, and Z when angle POZ is equal to:

i. 180°

ii. 135°

b. Find obtuse angle POZ, so that the mean distance from P to X Y, and Z is identical to the mean distance from P to X and Y.

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Cambridge International AS & A Level Mathematics Probability & Statistics 1 Coursebook

ISBN: 9781108407304

1st Edition

Authors: Dean Chalmers, Julian Gilbey

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Question Posted: Sep 10, 2021 03:16 AM

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In the figure opposite, a square of side 8cm is joined edge-to-edge to a semicircle, with centre

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X ht 8 N 00 00

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aifor XP 163652 PY 41620 for PZ 422228Cos 180 the mean dist...View the full answer

Cambridge International AS & A Level Mathematics Probability & Statistics 1 Coursebook

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