Sector Geometry

Question 1

What should you always check before applying any sector equations to a problem?

Answer 1

• That the shape is, in fact a sector and not a sneaky boi, being a triangle and semicircle combined together.

Question 2

What angle units must one use when dealing with sectors?

Answer 2

• Radians

Question 3

What is the formula for working out the area of a sector?

Answer 3

• Area = 1/2 x r² x ∅
• Area = 1/2 x radius² x theta

Question 4

What is the equation for working out arc length?

Answer 4

• arc length = r∅.
• arc length = radius x theta.

Question 5

Where do sectors often sneak up in exam questions?

Answer 5

• They are often apart of more complicated problems, such as integrating between two curves.