Question

5. A banner is made of a square and a semicircle. The square has side lengths of 26 inches. One side of the square is also the diameter of the semicircle. What is the total area of the banner? Use 3.14 for pi

Answer 1

Okay so all you have to do is find the Area of each shape, then add them together.  Starting with the square.  Your formula is A=s4    All you have to do is plug in your number.  A=26(4) Now solve. A=104.   Now we have to find the area of a semicircle.  Your formula is ((3.14)r squared)(.5) To find the radius (r) you divide the diameter by 2, so 26/2=13     Now all you have to do is plug in your numbers.   (3.14)(13 squared)(.5)    (3.14)(169)(.5)   
(530.66)(.5)   Your final answer is:  265.33 inches squared

Answer 2

Answer: 941.33 square inches

Step-by-step explanation:

Given : The side length of square = 26 inches

Area of square = $(side )^2$

$=(26)^2=676\text{ square inches}$

Also, it given that one side of the square is also the diameter of the semicircle.

i.e. diameter = 26 inches

Radius = half of diameter = 13 inches

Then , the area of the semicircle = $\dfrac{\pi r^2}{2}$

$=\dfrac{(3.14)(13)^2}{2}=265.33\text{ square inches}$

Now, the  total area of the banner = Area of square +Area of semicircle

$=676\text{ square inches}+265.33\text{ square inches}\\\\=941.33\text{ square inches}$

Hence, the total area of the banner= 941.33 square inches