Several different cheeses are for sale. The cheese comes in wedges shaped like sectors of a circle. All of the wedges are the same height.

10a. Mai bought a wedge with a central angle of 45 degrees and radius 10

centimeters. What is the area of the top surface of this wedge? *

39.30

Step-by-step explanation:

The area of the top surface of the wedge is the same as the area of a sector.

Area of a sector = (θ/)

where: θ is the central angle, and r is the radius.

Given that: central angle = , radius = 10 centimetre.

Area of the top surface = Area of a sector = (θ/)

                                      = x x

                                      = x x 100

                                      = 39.2857

                                     = 39.30

The area of the top surface of the wedge is 39.30 .

b. an equilateral triangle inscribed in a circle

step-by-step explanation:

we are given the figure of two circles having a triangle inside.

now, we know that,

"when a figure is lying inside an another figure, then the outside figure is known as circumscribed figure and the figure lying inside is referred to as the inscribed figure".

as we see that, the circles are containing the triangle completely.

thus, the circles are the circumscribed figures and the triangle is the inscribed figure.

hence, we get, 'an equilateral triangle is inscribed in a circle'.

step-by-step explanation:

mean or average is 40.6