All categories

2 years ago

What is the area of the shaded part of the figure if =14

Mathematics

1 answer:

aniked [119]2 years ago

4 0

The area of the shaded part is: 42.14 ft² .

<h3>Area of Square</h3>

Area = s²

<h3>Area of Quarter Circle </h3>

Area = 1/4πr²

Thus:

Area of the shaded part of the figure = area of square - area of quarter circle

Area of shaded part = s² - 1/4πr²

s = 14 ft

r = 14 ft

Substitute

Area of shaded part = 14² - 1/4(3.14)(14²)

= 42.14 ft²

Therefore, the area of the shaded part is: 42.14 ft² .

Learn more about area of square on:

brainly.com/question/813881

You might be interested in

If 3 inches represents 90 miles on a scale drawing, how long would a line segment be that represents 240 miles?

DerKrebs [107]

Answer:

8 inches

Step-by-step explanation:

90 miles -------------> represented by 3 inches

1 mile -------------> represented by 3/90 inches

240 miles ----------> represented by 3/90 x 240 = 8 inches

6 0

3 years ago

A company's logo was designed using circles of 3 different. sizes. The diameters of two of the circles are shown. Which measurem

Helga [31]

Answer:

option D . 254.34cm^2

Step-by-step explanation:

<u><em>The picture of the question in the attached figure</em></u>

The options are:

A . 56.52cm^2

B . 141.30cm^2

C . 1,017.36cm^2

D . 254.34cm^2

step 1

Find the diameter of the largest circle

we know that

The diameter of the largest circle is equal to the sum of the diameter of the two inside circles

$D=6+12=18\ cm$

step 2

Find the area of the largest circle

we know that

The area of the circle is given by the formula

$A=\pi r^2$

we have

$r=18/2=9\ cm$ ----> the radius is half the diameter

assume

$\pi=3.14$

substitute

$A=(3.14)(9^2)=254.34\ cm^2$

4 0

4 years ago

Solve the proportion. 2/x-3 = 5/x <br> a. 5 <br> b. 2 <br> c.10 <br> d.15

sergeinik [125]

Answer: a.5

Step-by-step explanation: You cross multiply and get 2x=5x-15. You then simplify this, getting -3x=-15. So the answer is 5.

8 0

3 years ago

A farmer owns 24 acres of land.He plants to use 6 acres for an entrance into the farm and partition the remaining land into 1/3-

sertanlavr [38]

Answer:
54 1/3-acre lots.

Step-By-Step:
If he uses 6 acres, then there will be 18 acres left.

If we divide the remaining 18 acres into 1/3-acre lots there will be 54.

Hope that makes sense.

3 0

3 years ago

Barry asked 30 random students at his school to name. Their favorite ice cream flavor. Of the 30 students he asked 20 of them pr

NemiM [27]

Answer:

20/30

1500/30=50

20*50=1000

1000/1500

6 0

3 years ago