Question

To calculate the total area of both circles combined, you need to convert the diameter of Circle B from millimeters to centimeters since Circle A’s radius is given in centimeters.

Given:

• Radius of Circle A (r_A) = 6 cm
• Diameter of Circle B (d_B) = 80 mm

Answer 1

To calculate the total area of both circles, convert the diameter of Circle B from mm to cm. Radius of Circle A = 6 cm, Diameter of Circle B = 80 mm. Calculate the area of each circle using the respective formulas and add them together to get the total area.

Step-by-step explanation:

To calculate the total area of both circles combined, we need to convert the diameter of Circle B from millimeters to centimeters since Circle A's radius is given in centimeters.

Given: Radius of Circle A (rA) = 6 cm, Diameter of Circle B (dB) = 80 mm.

To convert mm to cm, we divide the diameter by 10: 80 mm ÷ 10 = 8 cm.

Now, we can calculate the area of Circle A using the formula A = πr2 and the area of Circle B using the formula A = π(0.5d)2.

Plugging in the values:

Area of Circle A = π(6 cm)2

Area of Circle B = π(0.5(8 cm))2

Finally, we add the areas of both circles together to get the total area: Area of both circles = Area of Circle A + Area of Circle B.