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d) centre O. OE bisects AB. AD = 12cm, ED = 8cm and AB is a chord of circle %3D %3D OD = x. (1) Determine the radius OB in terms of x. Hence, calculate the length of the radius OB. (2) 8. D 12X

d) centre O. OE bisects AB. AD = 12cm, ED = 8cm and AB is a chord of circle %3D %3D OD = x. (1) Determine the radius OB in terms of x. Hence, calculate the length of the radius OB. (2) 8. D 12X

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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(d) AB is a chord of circle Statement centre O. OE bisects AB. AD = 12cm, ED = 8cm and Reason OD = x. (1) Determine the radius OB in terms of x. (2) Hence, calculate the length of the radius OB. D 12 (e) The radius of the semi-circle centre O is 5 cm. A square is fitted into the semi-circle as shown in the diagram. Calculate the area of the square. (Hint: Let the length of the square equal x.) B E (f) AB is a chord of the circle. AC= CB, and the length of the radius is 5 units. AC = 3 units and OC=4 units. Show that OCI AB and explain why OC passes through the centre O. 215
Transcribed Image Text:(d) AB is a chord of circle Statement centre O. OE bisects AB. AD = 12cm, ED = 8cm and Reason OD = x. (1) Determine the radius OB in terms of x. (2) Hence, calculate the length of the radius OB. D 12 (e) The radius of the semi-circle centre O is 5 cm. A square is fitted into the semi-circle as shown in the diagram. Calculate the area of the square. (Hint: Let the length of the square equal x.) B E (f) AB is a chord of the circle. AC= CB, and the length of the radius is 5 units. AC = 3 units and OC=4 units. Show that OCI AB and explain why OC passes through the centre O. 215
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