HELP! A semi circle of radius 6 is centered at the origin as shown. A rectangle has two of its vertices at (5,0) and (-5,0) and the other two vertices on the semi-circle. What is the exact area of the rectangle? What is the equation of the semi circle?

HELP A semi circle of radius 6 is centered at the origin as shown A rectangle has two of its vertices at 50 and 50 and the other two vertices on the semicircle class=

Respuesta :

The Area of rectangle is "[tex]30 \ unit^2[/tex]" and the equation of the semi circle is "[tex]y = \sqrt{36-x^2}[/tex]".

According to the question,

The vertices of rectangle,

(5, 0) and (-5, 0)

Length,

l = 10 unit

Breadth,

b = 3 unit

Radius of semi circle,

r = 6

Centre of origin,

(0, 0)

As we know,

→ The Area of rectangle is:

= [tex]Length\times Breadth[/tex]

= [tex]10\times 3[/tex]

= [tex]30 \ unit^2[/tex]

and,

→ The Equation of semi circle is,

[tex]y = \sqrt{r^2-x^2}[/tex]

by substituting the values, we get

  [tex]=\sqrt{(6)^2-x^2}[/tex]

  [tex]= \sqrt{36-x^2}[/tex]

Thus the above is the correct answers.

Learn more about Area of rectangle here:

https://brainly.com/question/14383947