A circle has a radius of 5p6q3 cm. The area of the circle can be found using the formula A = πr2. What is the area of this circle in square centimeters?

Respuesta :

Answer:

25p^12q^6πcm²

Step-by-step explanation:

Given the area of the circle expressed as;

A = πr^2

Given

r = 5p^6q^3 cm

Substitute into the formula

A = π(5p^6q^3

A = π(25p^12q^6)

A = 25p^12q^6πcm²

hence the area of this circle in square centimeters is 25p^12q^6πcm²

The area of the circle whose radius be 5p⁶q³ is 25πp¹²q⁶ square centimeters.

What is a circle?

It is a locus of a point drawn at an equidistant from the center. The distance from the center to the circumference is called the radius of the circle.

A circle has a radius of [tex]\rm 5 \ p^6 \ q^3[/tex] cm.

The area of the circle can be found using the formula

[tex]\rm A = \pi \ r^2[/tex]

Then the area of the circle will be

[tex]\rm A = \pi (5 \ p^6 \ q^3)^2\\\\A = \pi * 5^2 \ (P^6)^2 (q^3)^2\\\\A = 25 \ \pi \ p^{12} \ q^6[/tex]

Thus, the area of the circle is 25πp¹²q⁶ square cm.

More about the circle link is given below.

https://brainly.com/question/11833983