In the given figure arc AB and arc CD of a circle having centre at O are equal to 5cm.If $∠ A O B = 30^{\circ}$ , then the $∠ C O D$ is equal to__.

30^{\circ}

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

45^{\circ}

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

60^{\circ}

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

75^{\circ}

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

Open in App

Solution

The correct option is A $30^{\circ}$
In the figure arc AB = CD = 5cm.
Since $∠ A O B = 30^{\circ}$ , $∠ C O D$ will also be equal to $30^{\circ}$

(Two equal arc subtend equal angle at the centre)

Hence, $∠ C O D = 30^{\circ}$

Suggest Corrections

Similar questions

Q. In a circle with centre O, AB and CD are two arcs such that

∠ A O B = 75^{\circ}

. If arc AB is 3 times of CD, then

∠ C O D

25^{\circ}

Q. In the given figure, A, B and C are three points on a circle with centre O such that

∠ B O C = 30^{\circ}

and

∠ A O B = 60^{\circ}

. If D is a point on the circle other than the arc ABC, find

∠ A D C

Q. In the given figure, A, B and C are three points on a circle with centre O such that

∠ B O C = 30^{\circ}

and

∠ A O B = 60^{\circ}

. If D is a point on the circle other than the arc ABC, find

∠ A D C

In the given figure, A, B and C are three points on the circle with centre O such that $∠ B O C = 30^{\circ}$ and $∠ A O B = 60^{\circ}$ . If D is a point on the circle that is not on the arc ABC, then find $∠ A D C .$

In the given figure, A, B, and C are three points on a circle with centre O such that $∠ B O C = 30^{\circ}$ and $∠ A O B = 60^{\circ}$ . If D is a point on the circle other than the arc ABC, find $∠ A D C$ .

Join BYJU'S Learning Program

In the given figure arc AB and arc CD of a circle having centre at O are equal to 5cm.If ∠AOB=30∘, then the ∠COD is equal to__.

The correct option is A 30∘In the figure arc AB = CD = 5cm. Since ∠AOB=30∘, ∠COD will also be equal to 30∘ (Two equal arc subtend equal angle at the centre) Hence, ∠COD=30∘

In the given figure arc AB and arc CD of a circle having centre at O are equal to 5cm.If $∠ A O B = 30^{\circ}$ , then the $∠ C O D$ is equal to__.

The correct option is A $30^{\circ}$
In the figure arc AB = CD = 5cm.
Since $∠ A O B = 30^{\circ}$ , $∠ C O D$ will also be equal to $30^{\circ}$

(Two equal arc subtend equal angle at the centre)

Hence, $∠ C O D = 30^{\circ}$