A circular mirror is surrounded by a metal frame. The radius of the mirror is 2x. The side length of the metal frame is 12x. What is the area of the metal frame?

Step-by-step explanation:

Assuming that the metal frame is a square metal frame because the length of the side of the metal frame is given.

Given:

Radius of the mirror = 2x unit

Side length of the square metal frame = 12x unit

We need to find the area of the metal frame.

Solution:

First we find the area of the circular mirror, using area formula of the circle.

Where, r = Radius of the object.

Substitute r = 2x in above equation.

Now, we find the area the square, using area formula of the square.

So, the area of the square metal frame is given as

Therefore, the area of the metal frame is .

arc length = radius * x ( in radians)

6 * pi = 18 * x

divide by 18 on each side

6 pi / 18 = x

pi/3 = x

the angle is pi / 3 radians

or   60 degrees

feb 25, 2019 - when cylinder,is intersected by a plane as shown, the shape will have two parallel line segments and their ends are joined by congruent semicircles. so, the cross section when joined from end to end , gives rectangle.

step-by-step explanation: