Find x in the given figure. (The vertical chord is a diameter.)

Step-by-step explanation:

Let the center of the circle be point O.

A right-angled triangle can be drawn using one side of chord X as the base and its height up to point O.

The height of the triangle will be 4 - 2 = 2, and the hypotenuse is the radius of the circle, which is 4.

By Pythagoras' Theorem, 2^2 + (X/2)^2 = 4^2.

So (X/2)^2 = 14, and X = 2√14.

area = length x width

length = 2 x width

32 = 2 x width x width

32 = 2 x width^2

36 = width ^2  

width = 6

length = 12

area is 32

perimeter = 2 x 12 + 2 x 6 = 24 + 12 = 36

step-by-step explanation:

a

step-by-step explanation: