Respuesta :

Area=[tex]\pi[/tex] [tex]r^{2}[/tex]

divide diameter with 2 to get radius 13/2= 6.5

area= pi 6.5x6.5

=[tex]\pi[/tex]42.25

answer= 42.25[tex]\pi[/tex]

Area of a circle is equal to [tex]\boldsymbol{132.8}[/tex] square inches.

Area of a circle

A circle is a collection of all the points that are at the fixed distance (radius) from a fixed point (center).

Diameter of a circle [tex]=\boldsymbol{13}[/tex] centimeter

Radius of a circle is half of the diameter.

So,

Radius of a circle [tex]=\frac{13}{2}[/tex] centimeter

Area of a circle [tex]=\boldsymbol{\pi r^2}[/tex] where [tex]r[/tex] denotes radius of a circle.

                         [tex]=\frac{22}{7}\times \left ( \frac{13}{2} \right )^{2}\\=132.7857[/tex]

                         [tex]\boldsymbol{\approx 132.8}[/tex] square inches

So, area of a circle is equal to [tex]\boldsymbol{132.8}[/tex] square inches.

Find out more information about circle here:

https://brainly.com/question/11833983?referrer=searchResults