6.1.5 – Sector Areas

With a circle, we have so far calculated: Arc Length = rϴ Angular Speed (ω) = ϴ/t Linear Speed = rω

Say now we choose a slice of the circle formed once again by the angle ϴ Sector = portion of a circle between two radii Remember, the area of a circle = πr2

Sector Area The area of a sector, A, with the central angle ϴ and radius r is: A =

Example. Find the area of the sector of a circle with a radius of 10in and a central angle of 1200 ϴ must be in radians

Example. A circular game board has 6 equal wedges Example. A circular game board has 6 equal wedges. If the radius of the whole board is 5 in, what is the area formed by 2 wedges?

Example. A pizza with a radius of 1. 5 feet is cut into 9 equal pieces Example. A pizza with a radius of 1.5 feet is cut into 9 equal pieces. What is the area of each piece in inches?

Assignment Pg. 469 87-94 all