Question

OAB is a sector of the circle having centre at O and radius 12cm. If m angleAOB 45°, find the difference between the area of sector OAB and sector AOB.
•answer must be 18(π-2√2)
•explain the steps please.
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Answer 1

Answer:

Step-by-step explanation:

Given the radius of the circle r = 12 cm

Angle subtended by the arc AB at the centre θ = 45°

Area of sector with radius r and angle in degrees θ, is given by

Area of the circle  

Area of the sector OAB =

                                      =

Area of sector AOB can be calculated as Area of the Circle -  Area of sector OAB

∴ Area of sector AOB

Difference between area of sector AOB and OAB

= 339.43 cm²