MyQuestionIcon

1

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Criteria for Congruency of Triangles

A circle with...

Question

A circle with center O and radius = 5 cm has two chords AB and AC, such that AB = AC = 6 cm. If by joining B and C the line segment passes from the center of the circle O, then what is the length of BC?

A

5 cm

No worries! We‘ve got your back. Try BYJU‘S free classes today!

B

9 cm

No worries! We‘ve got your back. Try BYJU‘S free classes today!

C

10 cm

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

D

8cm

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is C 10 cm
As the line segment BC passes through the center, it means that it is a diameter of the circle.

Given that radius of the circle = 5 cm
$∴$ Diameter = 5 + 5 = 10 cm

Suggest Corrections

thumbs-up

4

Similar questions

Q. In a circle of radius

5 c m

A B

A C

are two chords such that

A B = A C = 6 c m

. The distance of the chord

B C

from the center will be equal to:

Q. The figure below shows a circle centered at O and of radius 5 cm. AB and AC are two chords such that AB = AC = 6 cm. AP is perpendicular to BC. Find the length of the chord BC in cm.

A B

A C

are two chords of a circle such that

A B = A C = 6 c m

. If radius of the circle is

5 c m

B C

Q. In a circle of radius 5 cm, AB and AC are two chords. such that

A B = A C = 6 c m

. Find the length of chord BC.

A B

A C

are two chords of a circle of radius

5

A B = A C = 4 \sqrt{5}

cm, then the length of the chord

B C

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Criteria for Congruency

MATHEMATICS

Watch in App

explore_more_icon

Explore more

Criteria for Congruency of Triangles

Standard IX Mathematics

Join BYJU'S Learning Program

CrossIcon