Question

AB is an arc of a circle, centre O, radius 9 cm. the length of the arc AB is 6 pie cm. the area of the sector AOB is K pie cm square. find the value of K.

Answer 1

Answer:

Step-by-step explanation:

formula is area of angles AOB=length x. Radius /2

Solution

AOB = K

K=length x. Radius /2

K= 6 x 9/2

K= 3 x 9. ( 2 x 3 = 6 )

K = 27 .

I hope u understand

My solution

Answer 2

Area of arc = 27 × ${\pi}$ cm²

Given:

AB is an arc of a circle, center O, radius 9 cm.

The length of the arc AB is 6 pie cm.

To find:

The area of the sector AOB

Formula used:

Area of arc = $\frac{Length \ of \ arc }{2}$ × Radius of circle

Explanation:

Radius 9 cm.

The length of the arc AB is 6 pie cm.

Area of arc = $\frac{Length \ of \ arc }{2}$ × Radius of circle

Area of arc = $\frac{6\times \pi }{2}$ × 9

Area of arc = 27 × $\pi$

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