Question

A pizza slice is in the shape of a circular sector OAB, with the central angle 0 = 50 deg and a radius of 7cm. 0 A B В Find the perimeter of the pizza slice. (no answer)​

Answer 1

The perimeter of the pizza slice is 20.1 cm

Explanation:

Perimeter of a Sector of a Circle

The arc length of a sector of a circle of radius r and angle θ is given by:

L = rθ

The angle must be expressed in radians.

The total perimeter of the circular sector, including the two radii, is:

P = rθ + 2r

The pizza slice has a radius of r=7 cm and a central angle of θ=50°

Converting to radians:

`\theta=50*(\pi)/(180)=(5\pi)/(18)`

The perimeter is:

`P = 7*(5\pi)/(18) + 2*7`

Calculating:

P = 20.1 cm

The perimeter of the pizza slice is 20.1 cm