Question

In the figure m(arcAB)=90°,observe the figure and complete the table.​

Answer 1

Step-by-step explanation:

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Answer 2

Central angle ⇒ ∠AOB = 180°

Inscribed angle ⇒ ∠AXB = 45°

Step-by-step explanation:

Given: m(arcAB)=90°

To find:

(i) central angle

(ii) inscribed angle

Method of solving: central is twice the angle it subtend on the circumference of circle.

Step 1 of 2

(i)

The angle of the arc is equal to the central angle of the circle.

m(arcAB)=90°

So, m(arcAB) = ∠AOB = 90°

Central angle ∠AOB  = 90°

Step 2 of 2

central is twice the angle it subtend on the circumference of circle.

So, ∠AOB = 2∠AXB

90° = 2∠AXB

∴∠AXB=45°