Arc Length and Area of a Sector
Warm Up – Investigation 1
a. Find the circumference of a circle with radius 12. State the circle circumference formula: b. Find the length of the arc intercepted by a central angle 90 degrees on a circle with radius 12. 90˚
c. Find the length of the arc intercepted by a central angle 90 degrees on a circle with radius 12
Warm Up – Investigation 2
a. Find the area of a circle with radius 12. State the circle area formula: b. Find the area of the sector created by a central angle 90 degrees on a circle with radius 12. 90˚
c. Find the area of the sector created by a central angle 90 degrees on a circle with radius 12
Important Formulas!
Arc Length
Area of a Sector
Practice
1. Find the length of arc XY. 10 cm 70° 2. Calculate the sector area. 2𝜋
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Y X 4. Find the area of a sector if the central angle measures 30° radians and the radius of the circle is 11 cm. 18 m 5. Find the area of the shaded region. Arc Length and Sector Maze Activity
3. Given a central angle of 125°, find the length of its intercepted arc in a circle of radius 7 cm. Round to the nearest tenth. 6. The central angle of a sector is 60o and the area of the circle is 144π . What is the area of the sector? Homework