6 An arc PQ of a circle centre O and radius r, subtends an angle 0 radians at O 0 The length of the arc PQ is L. Find: a L when r 9 and 0 = 3T br when L = 14.99 and 0-2.98 radians c 0 when L = 49 and r=7. 7 The sector of a circle of radius 15 cmm subtends an angle of 0 radians. Given that the perimeter of the sector is 50cm, find the value of 0. 8 The diagram shows the sector OAB of a circle centre O in which angle AOB is 2.3 radians. Given that the perimeter of the sector is 30 cm, find the length of OA. B 9 Find the perimeter of the segment cut off by a chord of length 14 cm from a circle radius 25 cm.
6 An arc PQ of a circle centre O and radius r, subtends an angle 0 radians at O 0 The length of the arc PQ is L. Find: a L when r 9 and 0 = 3T br when L = 14.99 and 0-2.98 radians c 0 when L = 49 and r=7. 7 The sector of a circle of radius 15 cmm subtends an angle of 0 radians. Given that the perimeter of the sector is 50cm, find the value of 0. 8 The diagram shows the sector OAB of a circle centre O in which angle AOB is 2.3 radians. Given that the perimeter of the sector is 30 cm, find the length of OA. B 9 Find the perimeter of the segment cut off by a chord of length 14 cm from a circle radius 25 cm.
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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Please answer only 6,8,and 9
Transcribed Image Text:6 An arc PQ of a circle centre O and radius r, subtends an angle 0 radians at O
a
P
b
r
The length of the arc PQ is L.
Find:
C
0
1
L when r =
r when L
14.99 and 0=2.98 radians
49T
9
and r=7.
7
The sector of a circle of radius 15 cmm subtends an angle of radians. Given that the
perimeter of the sector is 50cm, find the value of 0.
0 when L
9 and 0
=
3π
5
8
The diagram shows the sector OAB of a circle centre O in which angle AOB is 2.3
radians. Given that the perimeter of the sector is 30 cm, find the length of OA.
B
9 Find the perimeter of the segment cut off by a chord of length 14 cm from a circle radius
25 cm.
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