Question

Which sector below has the greatest area?

Answer 1

Why?

Answer 2

How about calculating all areas and deciding?
The area of a sector is
A = (n/360)(pi)r^2
where n = arc measure in degrees

The first sector has area:
A = (30/360)(pi)8^2 = (1/12)pi(64) = 16(pi)/3
Now find the area of the other sectors and compare.

Answer 3

Okay!

Like A = (60/360)(3.14)5^2?

Answer 4

Cool, so it's A! Thanks! @mathstudent55

Answer 5

The first sector has area:
A1 = (30/360)(pi)8^2 = 16.7

The second sector has area:
A2 = (60/360)(pi)5^2 = 13.1

The third sector has area:
A3 = (45/360)(pi)6^2 = 14.1

The fourth sector has area:
A4 = (90/360)(pi)4^2 = 12.6

Good job, @Tally5667