1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
ExtremeBDS [4]
3 years ago
12

Find the area and circumference of the figure below.

Mathematics
1 answer:
nexus9112 [7]3 years ago
7 0

Answer:

162.12385 cubic inches

Step-by-step explanation:

Assuming finding the area and circumference of the shaded area.

Triangle with 3 sides and 90 degrees on one side, we can use the Pythagorean Theorem to solve for the missing side.

Pythag. Theorem says

a^2 + b^2 = c^2

//a and b are the 2 small sides touching to the 90 degree angle

//^2 means squared, or the number multiplied by itself

(16)^2 +(30)^2 = c^2

16x16 + 30x30 = c^2

256 + 900 = c^2

1156 = c^2

Take the square root of both sides to get rid of (^2) from the right side of the equation.

sqrt(1156) = sqrt(c^2)

34 = c

So the longest side is 34 inches.

Coincidentally, this is the diameter of the Half Circle.

The radius = (diameter/2) = 34/2 = 16 inches

radius = 16 in.

Circumference of a Circle formula:

C = 2*pi*r; pi=3.14; r = radius

But this is a half circle, so C = pi*r = 3.14*16 = 50.2654

Now to find the area its a little more work.

Area of shaded part is equal to

Area of half circle   minus    area of triangle

Area of Circle: pi*r^2

-->since half circle: Area of half circle is: (pi*r^2)/2

Area of triangle: (base*height)/2: (16*30)/2

A of circle - A of triangle

(3.14*16^2)/2 - (16*30)/2

Area of shaded region = 162.12385

You might be interested in
5x−6=3x+10 PLSPLS HELP
vichka [17]

Answer:

x = 8

Step-by-step explanation:

Let's solve your equation step-by-step.

5x−6=3x+10

Step 1: Subtract 3x from both sides.

5x−6−3x=3x+10−3x

2x−6=10

Step 2: Add 6 to both sides.

2x−6+6=10+6

2x=16

Step 3: Divide both sides by 2.

2x /2 = 16/ 2

x=8

3 0
3 years ago
Read 2 more answers
Consider the following function.
shtirl [24]
Help ASAP only right answers only no spam don’t answer if you don’t know

















3 0
3 years ago
Anyone who can help me out with the above question​
Citrus2011 [14]

Answer:

Simplified: 0.024

Step-by-step explanation:

5 0
3 years ago
a basket of oranges weighs 25lb 3oz. The empty basket weighs 1lb 4oz. What is the weight of the oranges?​
marysya [2.9K]

Answer:

383 Oz, or 23.9375 Ibs

Step-by-step explanation:

Convert all the pounds to ounces for both just the basket and the basket with oranges then subratact the basket ounces from the basket and oranges ounces and you get your answer.

3 0
2 years ago
Find the volume of the prism . Can u also state formula as well please
maks197457 [2]

Answer:

840cm^3

Step-by-step explanation:

[12*15-(12-8)*(15-5)]*6

=[180-40]*6

=140*6

=840cm^3

3 0
3 years ago
Read 2 more answers
Other questions:
  • Are two regular hexagons always congruent?
    11·1 answer
  • How far from the base of the house do you need to place a 15 foot ladder so that it exactly reaches the top of a 12 foot wall?
    5·2 answers
  • Select the two values of x that are roots of this equation.<br> 2x+11x+15= 0
    14·1 answer
  • A. 231<br> B. 39<br> C. 129<br> D. 51
    15·1 answer
  • What is the answer to (x + 4)(-x + 2)
    14·1 answer
  • Rewrite the quadratic function in vertex form.<br> Y=3x^2-12x+4
    8·2 answers
  • 2x - 4 &gt; 4<br> ...................
    9·1 answer
  • I need this please help me no links
    15·1 answer
  • CALLING ALL EXPERTS!! I will give brainliest for this pop question!
    10·2 answers
  • The base of a solid is bounded by x^2 + y^2 = 16. Cross sections perpendicular to the x-axis are right isosceles triangles with
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!