Question

What is the area the major sector AOB?

Answer 1

11.59 units²

Explanation:

Step 1 : Determine radius

From reading the graph, looks like the radius is approx 3.2 units

Alternatively, calculate the radius:

the height of the triangle AOB = 1 unit, 1/2 base of triangle AOB = 3 units.

Using Pythagorean theorem, hypotenuse OB of a right angle triangle,

= √(1² + 3²) = √10 = 3.16 (pretty close to our estimate above)

Area of major sector,

=
`(210)/(360)` * area of full circle

=
`(210)/(360)` * 2πr

=
`(210)/(360)` * 2π (3.16)

= 11.59 units²