In the diagram, three circles with respective centres A, B and C, touch one another. The radii of the circles are 3 cm, 2 cm and 1 cm respectively. (a) Show that ZACB = radians. (b) Find the perimeter of the shaded region. (c) Find the area of the shaded region. 3107 A 3 3 usil ont le 2 B 2 1 C
In the diagram, three circles with respective centres A, B and C, touch one another. The radii of the circles are 3 cm, 2 cm and 1 cm respectively. (a) Show that ZACB = radians. (b) Find the perimeter of the shaded region. (c) Find the area of the shaded region. 3107 A 3 3 usil ont le 2 B 2 1 C
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:14. In the diagram, three circles with respective centres
A, B and C, touch one another. The radii of the
circles are 3 cm, 2 cm and 1 cm respectively.
(a) Show that ZACB
radians.
=
A
3
π
(b) Find the perimeter of the shaded region.
(c) Find the area of the shaded region.
3
-
2
gurgitent le
2
B
2
C
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