A circle has a radius of 6x9y5cm. What is the area of the circle in square centimeters? 12πx11y7
12πx18y10
36πx11y7
36πx18y10

The answer is the second option: 36πx^18y^10

Step-by-step explanation:

To solve this exercise, you must follow the proccedure below:

1. You have that:

- The formula for calculate the area of the circle is: A=πr² ("r" is the radius of the circle).

-The problem says that the circle has a radius of 6x^9y^5 (r=6x^9y^5)

2. When you substitute r=6x^9y^5 into A=πr², you obtain:

A=πr²

A=π(6x^9y^5 cm)²

3. By applying the exponents properties, you have:

A=36πx^18y^10 cm²

34.5 cm

step-by-step explanation:

generally for a circular segment of angle, θ° and radius r

arc length

= (θ/360) x circumference

= (θ/360) x 2πr

in our case, θ = 60°, π=3.142 and r = 33 cm

substitute into above formula

arc length

= (60/360) x 2(3.142)( 33) = 34.5 cm