An architect is sketching a doorway the top of which is part of a circle of radius 50 in the center angle is 100 how many inches long will the arc be?

The arc length is 87.5 inches.

Step-by-step explanation:

Given that,

Arc length = S = ?

Angle = theta = 100°  

Radius = r = 50 inches

The relation between the arc length (S), angle (theta) and radius (r) is calculated using

However, the angle should be in radian.

To convert degrees into radian, we use:

=>

=> 1.75 radian

By putting values in the above relation, we get

Therefore, the arc length is 87.5 inches.

complete the steps to find the area of the trapezoid.

area of rectangle = 256   square units

area of triangle 1 = 24  square units

area of triangle 2 = 16  square units

area of triangle 3 =   96 square units

area of trapezoid = 120  square units

step-by-step explanation:

the number of the people going.

step-by-step explanation:

the cost to buy one movie ticket is $7. if the total cost for the movie is a function of how many people go, then the input is : the number of the people going.