a chord of length 14cm is at a distance of 6cm from the centre of circle then find the length of another chord at a distance of 2cm from the centre of circle
Answers
Answer:
The correct option is B
18 cm
In a circle, chord AB = 14 cm
and distance from centre, OL = 6 cm
Let r be the radius of the circle, then
O
A
2
=
A
L
2
+
O
L
2
⇒
r
2
=
(
7
)
2
+
(
6
)
2
=
49
+
36
=
85
In the same circle length of another chord CD = ?
Distance from centre = 2 cm
∴
r
2
=
O
M
2
+
M
D
2
⇒
85
=
(
2
)
2
+
D
M
2
⇒
85
=
4
+
D
M
2
⇒
D
M
2
=
85
−
4
=
81
=
(
9
)
2
∴
D
M
=
9
∴
C
D
=
2
×
D
M
=
2
×
9
=
18
c
m
∴
Length of another chord = 18 cm
Answer:
Answer:18cm
Answer:18cmStep-by-step explanation:
Answer:18cmStep-by-step explanation:If you will make a chord 2cm more closer the length of the chord will increase 2cm and
Answer:18cmStep-by-step explanation:If you will make a chord 2cm more closer the length of the chord will increase 2cm and 14+2
Answer:18cmStep-by-step explanation:If you will make a chord 2cm more closer the length of the chord will increase 2cm and 14+2=18
Answer:18cmStep-by-step explanation:If you will make a chord 2cm more closer the length of the chord will increase 2cm and 14+2=18=18cm.