Find the sector arc length and area given the image below. Use 3.14 for pi
A What is the sectors arc length
A arc length x/360 2 pi r
Sector area x/360 pi r2
45 degrees 6 yd
Find the sector arc length and area given the image below. Use 3.14 for pi
B what is the area?
To find the sector arc length and area, we first need to determine the radius of the sector. Since the sector has a radius of 6 yards and an angle of 45 degrees, we can use the formulas provided:
A) Arc Length:
Arc length = (angle/360) * 2 * pi * r
Arc length = (45/360) * 2 * 3.14 * 6
Arc length = (0.125) * 37.68
Arc length = 4.71 yards
B) Sector Area:
Sector area = (angle/360) * pi * r^2
Sector area = (45/360) * 3.14 * 6^2
Sector area = (0.125) * 3.14 * 36
Sector area = 1.57 * 36
Sector area = 56.52 square yards
Therefore, the sector arc length is 4.71 yards and the sector area is 56.52 square yards.