Areas Related to Circles

📝🎥 Areas Related to Circles

◆ Circumference of a circle = `2 \pi r`

◆ Area of a circle = `pi r^2`

◆ Area of the circular path formed by two concentric circles of radii `r_1` and `r_2, (r_1 > r_2)` =

`\pi r_1^2 - \pi r_2^2 = \pi (r_1^2 - r_2^2)`

◆ Length of an arc of a sector of a circle with radius `r` and angle with degree measure `\theta` is

`\theta/360 ×2 \pi r`

◆ Area of a sector of a circle with radius r and angle with degree measure `\theta` is

`\theta/360 × \pi r^2`

◆ Area of the minor segment APB of the circle in Fig. = area of sector OAPB – area of `\triangle` OAB.

◆ Area of the major sector of a circle of radius `r = \pi r^2` – area of the corresponding minor sector.

◆ Area of the major segment of a circle of radius `r = \pi r^2` – area of the corresponding minor segment.