Question

use the area of a circle formula to find the surface area of the circle. a = π × r² a = 3.14 × 11² 11 cm 10 cm one circle: ?cm² both circles: cm² circumference: cm rectangle: cm² total sa: cm² π = 3.14 area of a circle a = πr²

Explanation:

Step1: Calculate area of one circle

$a = 3.14\times11^{2}=3.14\times121 = 379.94$

Step2: Calculate area of both circles

Since there are two circles, $A_{circles}=2\times379.94 = 759.88$

Step3: Calculate circumference of the circle

$C = 2\pi r=2\times3.14\times11 = 69.08$

Step4: Calculate area of the rectangle

The rectangle's length is the circumference and width is 10 cm. So $A_{rectangle}=69.08\times10 = 690.8$

Step5: Calculate total surface - area

$A_{total}=A_{circles}+A_{rectangle}=759.88 + 690.8=1450.68$

Answer:

One Circle: $379.94$ $cm^{2}$
Both Circles: $759.88$ $cm^{2}$
Circumference: $69.08$ $cm$
Rectangle: $690.8$ $cm^{2}$
Total SA: $1450.68$ $cm^{2}$