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 )²
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