For the following pair of lines, identify the system by type.

anzhelika [568]

The circumference of the circle is actually the perimeter ( length of the boundary ) of the circle . And a part of the circle which lies between two distinct points on the circumference of the circle is called an arc . If the length of the arc is less than half the circumference , it is called minor arc and remaining portion which is more than half of the circle ( but natural ) is called major arc .

When these two points , which make the arc are joined separately to the centre of circle , these arms make angle at the centre . This is called the angle subtended by the arc at the centre of the circle .

There is a beautiful logical relation exists between arc length and the angle , the arc makes ( subtends ) at the centre of the circle . This relation is as under , the wholle circle subtends an angle of 360 degree at the centre . Half the circumference subtendr 360 / 2 ie 180 degree at the centre . The logical relation becomes Arc Length = Circumference × angle in degrees it ( the arc ) subtends at the centre of the circle / 360 degree . So the answer is very simple :- The Arc Length = 36 × 90 / 360 or 9 units ( may be centimetres or metres or inches , feet , yards , etc ) . Which is definitely length of the minor arc . The length of the major arc ( remaining portion of the circumstance ) is 36 - 9 = 27 units . Hence the required answer of the sum is 9 units .

3 0

2 years ago

Read 2 more answers

A rectangle park measures 300 ft by 400 ft. A sidewalk runs diagonally from one comer to the opposite corner. Find the length o

DochEvi [55]

The length of side walk is 500 feet

Solution:

Given that, A rectangle park measures 300 ft by 400 ft

Length = 300 feet

Width = 400 feet

A sidewalk runs diagonally from one comer to the opposite corner

We have to find the length of side walk

Which means, we have to find the length of diagonal of rectangle

The diagonal of rectangle is given by formula:

$d = \sqrt{w^2+l^2}$

Where,

d is the length of diagonal

w is the width and l is the length of rectangle

Substituting the values in formula, we get

$d = \sqrt{400^2+300^2}\\\\d = \sqrt{160000+90000}\\\\d = \sqrt{250000}\\\\d = 500$

Thus length of side walk is 500 feet

5 0

3 years ago

Solve v^3 = -26 where v is a real number. Simplify your answer as much as possible.

il63 [147K]

Answer:

nearby -3

Step-by-step explanation:

When v^3 is -26, your v is equal to $-\sqrt[3]{26}$ .

3^3 is 27, so v is nearby 3.

or, It would be nearby 3.9

5 0

3 years ago

I spent 15 percent of my money on food last week. If I had $56 how much money was spent on food

liq [111]

15% of 56 is
0.15 * 56 is 8.4
You spent 8.4 dollars on food

Hope this helps :)

6 0

3 years ago

State the value of 'x' in this equation, and explain why you know this to be true without doing any calculations. 5X=59

Zigmanuir [339]

The value of x in the equation is 59/5

<h3>How to solve for x?</h3>

The equation is given as:

5x = 59

Divide both sides by 5

x = 59/5

This means that the value of x in the equation is 59/5

To know if the value is accurate, we simply multiply 5 by 59/5 and we get 59 as in 5x = 59