3 years ago

A triangle is placed in a semicircle with a radius of 5 yd, as shown below. Find the area of the shaded region.

Mathematics

1 answer:

Svetradugi [14.3K]3 years ago

7 0

Answer:

14.25 yd^2

Step-by-step explanation:

The triangle area is given by the formula ...

A = 1/2bh

Here, the base is 10 yd, and the height is 5 yd, so ...

triangle area = (1/2)(10 yd)(5 yd) = (5 yd)^2 = 25 yd^2

The semicircle is half the area of a circle with radius 5 yd, so its area is ...

semicircle area = (1/2)π(5 yd)^2 = 12.5π yd^2 ≈ 39.25 yd^2

The shaded region is the difference between these areas:

shaded area = 39.25 yd^2 -25 yd^2 = 14.25 yd^2

You might be interested in

Find the mean of following data: <br>i)70,30,45,90,45

mars1129 [50]

Answer:

Step-by-step explanation:

The mean is the average number of a data set.

To find the mean:

First, add all the numbers in the data set:

30 + 45 + 45 + 70 + 90 = 280

Next, divide the sum (280) by 5 (amount of values):

280 / 5 = 56

56 represents the mean of your data set.

8 0

2 years ago

Pls help <br><br>What is the range of the function graphed above?!!!!

Flura [38]

I think it’s -infinity

5 0

2 years ago

A chicken recipe calls for 1/4 T of paprika for each 1/2 T of garlic powder. If you use 3/4 T of paprika, how much garlic?

LuckyWell [14K]

Answer:

1 1/2 T garlic

Step-by-step explanation:

You used 3 times as much paprika as the recipe asks for. Therefore, to keep the ratio the same, you also have to multiply the amount of garlic by 3. So, you need 3/2 or 1 1/2 T of garlic.

4 0

3 years ago

Kadeem earns a salary of $1,800 per month plus a 10% commission on his sales. In order to save money for the down payment on a h

docker41 [41]

I'm guessing 99.65
1800+10%-20%-25%=99.65
but it probably wrong

5 0

3 years ago

Read 2 more answers

The ratio of side lengths on a triangle is 3:5:4. If the perimeter of the triangle is 72 cm, how long is the longest side of the

MaRussiya [10]

The longest side of the triangle is 30

7 0

2 years ago