The length of minor arc AB of a circle with radius 7 units is 14- Find the length of major arc AB-

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

Area of a Circle

The length of...

Question

The length of minor arc $ˆ A B$ of a circle with radius $7$ units is $14$ . Find the length of major arc $ˆ A B$ .

18

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

21

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

28

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

30

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

Open in App

Solution

The correct option is B $30$
Length of major arc $=$ Circumference of circle $-$ length of minor arc
Length of major arc $= 2 π r - 14$
Here, $r = 7$
$∴$ Length of major arc $= 2 \times \frac{22}{7} \times 7 - 14$
$∴$ Length of major arc $= 44 - 14 = 30$ .

Suggest Corrections

Similar questions

Q. AB and PQ are two equal chords of a circle. If the length of minor arc and major arc formed by AB is 24cm and 64cm, respectively, then find the length of minor and major arc formed by PQ.

Q. The length of minor arc

A B

of circle with area

81 π

square units and

∠ A C B =

120^{\circ}

Q. In a circle of radius

7

cm, arc

A B

makes one angle

90^{\circ}

at the centre O. Find the length of the major arc

A B

AB and PQ are two equal chords of a circle. If the length of minor arc and major arc formed by AB is 24cm and 64cm respectively, then the length of minor and major arc formed by PQ is ___ and ___ respectively.

Q. An minor arc subtends an angle of

60^{\circ}

at the centre of the circle with radius

3

units. What is the arc length of the major sector?

Join BYJU'S Learning Program

The length of minor arc ˆAB of a circle with radius 7 units is 14. Find the length of major arc ˆAB.

The correct option is B 30Length of major arc = Circumference of circle − length of minor arcLength of major arc =2πr−14Here, r=7∴ Length of major arc =2×227×7−14∴ Length of major arc =44−14=30.

The length of minor arc $ˆ A B$ of a circle with radius $7$ units is $14$ . Find the length of major arc $ˆ A B$ .

The correct option is B $30$
Length of major arc $=$ Circumference of circle $-$ length of minor arc
Length of major arc $= 2 π r - 14$
Here, $r = 7$
$∴$ Length of major arc $= 2 \times \frac{22}{7} \times 7 - 14$
$∴$ Length of major arc $= 44 - 14 = 30$ .