Answer:
11.59 units²
Step-by-step 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,
= [tex]\frac{210}{360}[/tex] * area of full circle
= [tex]\frac{210}{360}[/tex] * 2πr
= [tex]\frac{210}{360}[/tex] * 2π (3.16)
= 11.59 units²
