KnowledgeBoat Logo

Mathematics

Arcs AB and BC are of lengths in the ratio 11 : 4 and O is center of the circle. If angle BOC = 32°, the angle AOB is :

  1. 64°

  2. 88°

  3. 128°

  4. 132°

Arcs AB and BC are of lengths in the ratio 11 : 4 and O is center of the circle. If angle BOC = 32°, the angle AOB is : Circles, Concise Mathematics Solutions ICSE Class 10.

Circles

3 Likes

Answer

Given,

Arcs AB and BC are of lengths in the ratio 11 : 4.

∴ ∠AOB : ∠BOC = 11 : 4

⇒ ∠AOB : 32° = 11 : 4

⇒∠AOB32°=114\Rightarrow \dfrac{∠AOB}{32°} = \dfrac{11}{4}

⇒ ∠AOB = 114×32°\dfrac{11}{4} \times 32° = 88°.

Hence, Option 2 is the correct option.

Answered By

2 Likes

Related Questions