1560
You visited us
1560
times! Enjoying our articles?
Unlock Full Access!
Byju's Answer
Standard IX
Mathematics
Chord Theorem 1
O is the cent...
Question
O
is the centre of the circle.
A
B
is a chord of the circle.
O
M
⊥
A
B
. If
A
B
=
20
cm,
O
M
=
2
√
11
cm, then radius of the circle is
A
15
cm
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
12
cm
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
C
10
cm
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
11
cm
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution
The correct option is
C
12
cm
OA is the radius of the circle
Perpendicular drawn from centre to a chord bisects the chord.
Therefore
A
M
=
1
2
A
B
A
M
=
10
c
m
Thus, triangle
O
M
A
is right angled triangled at
∠
O
M
A
.
∠
O
M
A
=
90
∘
.
By Pythagoras theorem,
O
A
2
=
O
M
2
+
M
A
2
O
A
=
√
O
M
2
+
M
A
2
O
A
=
√
(
2
√
11
)
2
+
10
2
O
A
=
√
144
c
m
O
A
=
12
c
m
Radius of a circle is
12
c
m
.
Option B will be the answer.
Suggest Corrections
0
Similar questions
Q.
A
B
is chord of a circle with centre
O
and radius
17
cm. If
O
M
⊥
A
B
and
O
M
=
8
cm, then the length of chord
A
B
is
Q.
O
is the centre of the circle having radius
5
cm.
O
M
⊥
chord
A
B
. If
O
M
=
4
cm, then the length of the chord
A
B
is
Q.
O
is the centre of the circle having radius
5
cm.
O
M
is a
⊥
on chord
A
B
. If
O
M
=
4
cm, then the length of the chord
A
B
is equal to
Q.
O
is the center of the circle having radius
5
cm OM is perpendicular to chord AB. If
O
M
=
4
c
m
, then find the length of the chord AB.
Q.
In the given figure,
O
is the centre of the circle.
A
B
and
C
D
are two chords of the circle.
O
M
is perpendicular to
A
B
and
O
N
is perpendicular to
C
D
.
A
B
=
24
c
m
,
O
M
=
5
c
m
,
O
N
=
12
c
m
. Find the:
(i) radius of the circle.
(ii) length of chord
C
D
.
View More
Join BYJU'S Learning Program
Grade/Exam
1st Grade
2nd Grade
3rd Grade
4th Grade
5th Grade
6th grade
7th grade
8th Grade
9th Grade
10th Grade
11th Grade
12th Grade
Submit
Related Videos
Chord Theorem 1
MATHEMATICS
Watch in App
Explore more
Chord Theorem 1
Standard IX Mathematics
Join BYJU'S Learning Program
Grade/Exam
1st Grade
2nd Grade
3rd Grade
4th Grade
5th Grade
6th grade
7th grade
8th Grade
9th Grade
10th Grade
11th Grade
12th Grade
Submit
AI Tutor
Textbooks
Question Papers
Install app