All categories

3 years ago

Find the exact area of a circle having the given circumference.

Mathematics

1 answer:

blagie [28]3 years ago

3 0

Answer:

Step-by-step explanation:

The formula of an area of a circle:

$A=\pi r^2$

r - radius

The formula of a circumference of a circle:

$C=2\pi r$

We have:

$C=3\pi$

Substitute:

$2\pi r=3\pi$ divide both sides by 2π

$r=1.5$

Substitute:

$A=\pi(1.5)^2=2.25\pi$

You might be interested in

Find the distance between the pair of points and then round your answer to the nearest tenth.

Travka [436]

Answer:

$d = 9.4 units$ (nearest tenth)

Step-by-step explanation:

Given the distance formula, $d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$ , distance between (-4, 5) and (4, 0) is calculated as follows:

Let $(-4, 5) = (x_1, y_1)$

$(4, 0) = (x_2, y_2)$

$d = \sqrt{(4 - (-4))^2 + (0 - 5)^2}$

$d = \sqrt{(8)^2 + (- 5)^2}$

$d = \sqrt{64 + 25}$

$d = \sqrt{89}$

$d = 9.4 units$ (nearest tenth)

3 0

2 years ago

Write the ratio 42 inches to 9 feet as a fraction in simplest form. Explain why you get the same result whether you convert feet

V125BC [204]

Let's convert one of these numbers:
1 foot = 12 inches

9 feet were 9*12=108 inches

so the ratio would be 42: 108

or we can simplify it: divide by 2:
21:54

divide by 3:
7:18

A ratio always stays the same no matter the unit or currency, so it doesn't matter which unit we convert it to.

4 0

2 years ago

Which statements can be concluded from the diagram and used to prove that the triangles are similar by the SAS similarity theore

velikii [3]

Answer:

RS/VU=ST/UT and ∠S≅∠U

Step-by-step explanation:

we know that

The Side-Angle-Side Similarity Theorem states that: If two sides in one triangle are proportional to two sides in another triangle and the included angle in both are congruent, then the two triangles are similar

In this problem the included angle is

∠S≅∠U

therefore

side RS must be proportional to side VU and side ST must be proportional to side UT

RS/VU=ST/UT

Verify

substitute the given values

12/6=16/8

2=2 -----> is true

therefore

The two sides are proportional

6 0

2 years ago

Read 2 more answers

ANWSER these three questions show ur work, if u can is somewhat optional

Airida [17]

Answer:

1. 35 2. 565.5 3. 12.28

Step-by-step explanation:

1. Triangle 1 & 2: 7x3=21

You do not have to divide by 2 is since there are two triangles.

Semi-circle: 14.13

2. Trinagle: 29x19/2 = 275.5

Rectangle: 29x10 = 290

3. Triangle: 3x4/2 = 6

Semi-circle: 3.14x4/2 = 6.28

Took a long time- Please give Brainliest and points!

7 0

2 years ago

How to solve a multiplication problem with a variable?

VashaNatasha [74]

In order to move a number that is multiplied or divided by the variable, you must do the inverse to both sides. That means, if the number is multiplied, you must divide it by both sides. If it's divided, you must multiply it by both side. steps so that you can apply them to more complex problems.

7 0

2 years ago

Read 2 more answers