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
Drupady [299]
3 years ago
11

The diagram shows a circle and an equilateral triangle. One side of the equilateral triangle is a diameter of the circle. The ci

rcle has a circumference of 48cm. Work out the area of the triangle.

Mathematics
1 answer:
Lemur [1.5K]3 years ago
3 0

Answer:

Area = 101.4 cm^2 (3 S.F)

Step-by-step explanation:

Diameter of circle (D) = one side of the equilateral ∆

Circumference of the circle = πD = 48 cm

Thus:

πD = 48

Divide both sides by π

D = \frac{48}{\pi} = 15.3 cm (approximated to nearest tenth)

Since all sides an equilateral ∆ are equal, therefore, and the diameter, D, of the circle given is the same as the length of one side of the ∆, therefore, all sides of the equilateral triangle would be 15.3 cm.

Recall that the area of a triangle can be found if we know lengths of the two sides of the ∆ and the measure of the included angle between both sides.

Since an equilateral ∆ has equal angles, each measuring 60°, then we already have all the information needed to calculate the area of the ∆.

Thus:

Length of the two sides = 15.3 cm and

15.3 cm

Included angle = 60°

Use the following formula:

Area = \frac{1}{2}ab \times Sin(C)

Where,

a = 15.3 cm

b = 15.3 cm

C = 60°

Plug the values into the formula to find the area.

Area = \frac{1}{2} \times 15.3 \times  15.3 \times Sin(60)

Area = \frac{1 \times 15.3 \times  15.3 \times Sin(60)}{2}

Area = 101.4 cm^2 (3 S.F)

You might be interested in
Select the correct answer from each drop-down menu.
photoshop1234 [79]

1. quotient

2.remainder

3. a factor

4. 5

Step-by-step explanation:

i just took the test

4 0
3 years ago
A model is made of a car. The car is 9 feet long and the model is 6 inches long. What is the ratio of the length of the car to t
velikii [3]

Answer:

B

Step-by-step explanation:

To answer this, we need to see the to see to the fact that they are both in the same unit before we can take the ratio.

Firstly, we know that 1 foot = 12 inches. 9 feet would this be 9 * 12 = 108 inches.

Now we are told to get the ratio of length of car to length of model.

This means 108:6 = 18:1

5 0
3 years ago
Read 2 more answers
I need help!!!!!!!!!!!!!!
stira [4]
The answer would have to be d
7 0
3 years ago
Read 2 more answers
Plzzzzz help 3 9/10 is the same as the sum of 3 1/3 and half of a number what is the number​
kirill [66]

Answer:

9/10 = 1/3 + 1/2x

9/10 - 1/3 = 1/2x

LCM of 10 and 3 is 30

( 27 - 10)/30 = 1/2x

17/30 = 1/2x

17 * 2 = 30x

34=30x

34/30= 30x/30

x = 17/15

6 0
3 years ago
I the cafeteria there are 7 teachers 48 girls and 45 boys. What is the probability that a person chosen at random from the cafet
mr Goodwill [35]

Total people in the cafeteria = 7 + 48 + 45 = 100

There are 45 boys.

The probability would be the number of boys over the total number of people:

45/100, which simplifies to 9/20

7 0
3 years ago
Read 2 more answers
Other questions:
  • sofia bought bananas ,cereal,and milk at the store.She spent all of her money.She spent 3/10 of her money on bananas and 4/10 on
    11·2 answers
  • Jeff wanted to see how many smaller boxes will fit into the larger box. Each small box has a side length of 1.5 inches. The larg
    14·1 answer
  • What algebraic expression represents "the product of x cubed and the absolute value of y"?
    5·1 answer
  • 3. A researcher wants to know whether people who regularly listen to radio talk shows are more or less likely to vote in nationa
    8·1 answer
  • An x-method chart shows the product a c at the top of x and b at the bottom of x. Above the chart is the expression a x squared
    16·2 answers
  • Non standard form of 142899
    11·2 answers
  • Thank you guys so much for helping!
    6·1 answer
  • Which expression is equivalent ?
    9·1 answer
  • PLS HELP WILL MARK BRAINLIEST. IF GOTTEN RIGHT SHOW WORK
    9·1 answer
  • 4 times 2 1/8 mixed number in simpileest form
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!