Circle In Degree
In this lesson, you will learn how to calculate the area and arc length for circle, sector and segment.
Related Lessons:
Arc Length & Area Formula For Circle
For circle formula in degree:
- \(arc\ length=\frac{x^\circ}{360^\circ}\times2\pi r\)
- \(sector\ area=\frac{x^\circ}{360^\circ}\times\pi r^2\)
Example 1
The diagram shows a major segment of a circle centre O, radius 10 cm. The chord AB is of length 12cm. Calculate
- the perimeter of the segment
- the area of the segment
Example 2
The diagram shows a circle of radius 6cm with centre O. Angle AOB subtended by the arc APB is 80°. A sector CAQB with centre at C is drawn in the circle such that C, A and B lie on the circumference of the circle, and AC=BC.
- Giving your reason, write down ∠ACB
- Show that the length of CA is 11.276cm, correct to 5 significant figures.
- Find the perimeter of the shaded region.
- Find the area of the shaded region.