SOLUTION: A circular pizza has an area of 90cm2. If a slice is cut with an angle of 40o at the centre, what is the area of the slice? a) 1/4cm2 b) 1/9cm2 c) 4/9cm2 d) 10cm2 e) 360cm2

Algebra ->  Circles -> SOLUTION: A circular pizza has an area of 90cm2. If a slice is cut with an angle of 40o at the centre, what is the area of the slice? a) 1/4cm2 b) 1/9cm2 c) 4/9cm2 d) 10cm2 e) 360cm2      Log On


   

Question 287836: A circular pizza has an area of 90cm2. If a slice is cut with an angle of 40o at the centre, what is the area of the slice?
a) 1/4cm2 b) 1/9cm2 c) 4/9cm2 d) 10cm2 e) 360cm2
Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
The area of the pizza is 90 square centimeters.

The number of degrees in a circle is 360.

360 / 40 = 9

The pizza will deliver 9 slices if each slice creates an angle of 40 degrees at the center of the pizza.

Each slice is the same size, so the area of each slice has to be 90 / 9 = 10 square centimeters.

That would be selection d.