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PQRS is a cyclic quadrilateral, with diagonals PR and QS meeting at right angles. 3 сп R P 4 cm S ZSPR = ZSQR = 0 (angles subtended by the same arc). QR = 3 cm and PS= 4 cm. Find RX and PX in terms of 0. a b Find PR in terms of 0. State the maximum length of PR and the value of 0 for which this occurs. ii Illustrate this situation with a suitable diagram. d The area, A cm?, of the cyclic quadrilateral is given by the expression A = c + b sin 20. Find the values of c and b. ii Find the maximum value of A and the value of 0 for which this occurs.e

PQRS is a cyclic quadrilateral, with diagonals PR and QS meeting at right angles. 3 сп R P 4 cm S ZSPR = ZSQR = 0 (angles subtended by the same arc). QR = 3 cm and PS= 4 cm. Find RX and PX in terms of 0. a b Find PR in terms of 0. State the maximum length of PR and the value of 0 for which this occurs. ii Illustrate this situation with a suitable diagram. d The area, A cm?, of the cyclic quadrilateral is given by the expression A = c + b sin 20. Find the values of c and b. ii Find the maximum value of A and the value of 0 for which this occurs.e

Mathematics For Machine Technology
Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter81: Introduction To Computer Numerical Control (cnc)
Section: Chapter Questions
Problem 4A: A rectangular solid has length L=12.6 mm, width W=23.8 mm, and height H=32.5 mm. Find the length of...
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PQRS is a cyclic quadrilateral, with diagonals PR and QS meeting at right angles. 3 cnt R P 4 cm S ZSPR = ZSQR = 0 (angles subtended by the same arc). QR = 3 cm and PS= 4 cm. Find RX and PX in terms of 0. a b Find PR in terms of 0. State the maximum length of PR and the value of 0 for which this occurs. ii Illustrate this situation with a suitable diagram. d The area, A cm?, of the cyclic quadrilateral is given by the expression A = c + b sin 20.e Find the values of e and b. ii Find the maximum value of A and the value of 0 for which this occurs urs.e
Transcribed Image Text:PQRS is a cyclic quadrilateral, with diagonals PR and QS meeting at right angles. 3 cnt R P 4 cm S ZSPR = ZSQR = 0 (angles subtended by the same arc). QR = 3 cm and PS= 4 cm. Find RX and PX in terms of 0. a b Find PR in terms of 0. State the maximum length of PR and the value of 0 for which this occurs. ii Illustrate this situation with a suitable diagram. d The area, A cm?, of the cyclic quadrilateral is given by the expression A = c + b sin 20.e Find the values of e and b. ii Find the maximum value of A and the value of 0 for which this occurs urs.e
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