The figure is make up of 3 circles. The small circle has centre O and a radius of 6 cm. The big circle, has centre O and a radius of 10 cm. The diameter of the big circle cuts through the centre of the medium-sized circle and the small circle. The three regions formed are indicated as X, Y and Z (a) Find the radius of the medium-sized circle. (b) Find the area of region Z. Use a calculator to obtain the value of π. (Round off to nearest 2 decimal places). (c) Express the area of the region Y as a ratio to the area of region X Ejejeiejidje skenekskx krkd irks
The figure is make up of 3 circles. The small circle has centre O and a radius of 6 cm. The big circle, has centre O and a radius of 10 cm. The diameter of the big circle cuts through the centre of the medium-sized circle and the small circle. The three regions formed are indicated as X, Y and Z (a) Find the radius of the medium-sized circle. (b) Find the area of region Z. Use a calculator to obtain the value of π. (Round off to nearest 2 decimal places). (c) Express the area of the region Y as a ratio to the area of region X Ejejeiejidje skenekskx krkd irks
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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Question
The figure is make up of 3 circles . The small circle has centre O and a radius of 6 cm. The big circle, has centre O and a radius of 10 cm. The diameter of the big circle cuts through the centre of the medium-sized circle and the small circle. The three regions formed are indicated as X, Y and Z
(a) Find the radius of the medium-sized circle.
(b) Find the area of region Z. Use a calculator to obtain the value of π. (Round off to nearest 2 decimal places).
(c) Express the area of the region Y as a ratio to the area of region X
Ejejeiejidje skenekskx krkd irks
Transcribed Image Text:X
O
N
The figure is make up of 3 circles. The small circle has centre O and a radius of 6 cm. The
big circle, has centre O and a radius of 10 cm. The diameter of the big circle cuts through
the centre of the medium-sized circle and the small circle. The three regions formed are
indicated as X, Y and Z
(a) Find the radius of the medium-sized circle.
(b) Find the area of region Z. Use a calculator to obtain the value of n. (Round off to nearest
2 decimal places).
(c) Express the area of the region Y as a ratio to the area of region X
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