Ask question

Ask question

All categories

3 years ago

12

How long is the arc formed by a 300 degree central angle in a circle with a radius of 7 cm.?

1 answer:

Artyom0805 [142]3 years ago

3 0

<h3>Answer: </h3>

approximately 36.633 cm if you use pi = 3.14

approximately 36.6519 cm if you use the calculator's stored value of pi

Work Shown:

L = arc length, r = radius, x = central angle in degrees

L = (x/360)*2*pi*r

L = (300/360)*2*pi*7

L = (35/3)pi .... exact arc length in terms of pi

L = (35/3)*3.14

L = 36.633 .... approximate arc length

Keep in mind that I used pi = 3.14 which isn't that great an approximation for pi. If you want to use more digits of pi, then use your calculator's built in version of it to get (35/3)*pi = 36.6519; of course it will depend on which option your teacher prefers.

You might be interested in

A=3.14r^2 and d=12 A=?

zvonat [6]

$\huge\boxed{113.04}$

Diameter ( $d$ ) is equal to twice the radius ( $r$ ). So, find the radius by dividing $\frac{12}{2}$ . The radius, or $r$ , is $6$ .

Substitute in the value. $A=3.14*6^2$

Follow the order of operations and solve the exponent first. $A=3.14*36$

Multiply. $A=\boxed{113.04}$

4 0

3 years ago

Miller has a painting that is 4 ft by 8 ft. What will the dimensions of the painting be if he scales it down by a factor of one-

natta225 [31]

The answer is C) 1 ft by 2 ft
You can take 4*0.25 and 8*0.25
You end up with 1 by 2

8 0

3 years ago

Read 2 more answers

Find the volume.<br> 12<br> 8.54

anyanavicka [17]

Answer:

288 units^3

Step-by-step explanation:

To find the volume of this prism, first find the area of the triangular end.

A = (1/2)(base)(height) comes out to A = (1/2)(6)(8), or A = 24 square units.

Next, multiply this area by the length of the prism: V = (24 units^2)(12 units) = 288 units^3

The volume is 288 units^3

4 0

2 years ago

Kaltlin has a patio that is in the shape of a rectangle with an area of 1500 ft?. She has decided to expand the patio so that it

nadezda [96]

It is given that area of rectangle of Kaitlin is 1500 sq.ft. with length 50 ft and a width of 30 ft.

The new area when new length 2 times the current length and the new width 2 times the current width.

$A=(50\times2)\times(30\times2)=100\times60=6000ft^2$

a. The size of Kaitlin new patio is

$100\times60=6000ft^2$

b. The area of new patio is 4 times the area of current patio.

$1500\times4=6000ft^2$

5 0

8 months ago

Triangle HJK and triangle PMK are similar right triangles. The coordinates of all the vertices are integers.

Taya2010 [7]

Answer:

Step-by-step explanation:

b

8 0

2 years ago