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lutik1710 [3]
3 years ago
11

The diameter of a circle is 16 meters. What is the angle measure of an arc bounding a sector with an area eight pi square meters

? (give the exact answer in simplest form)
Mathematics
1 answer:
Degger [83]3 years ago
5 0

Answer: 45°

Step-by-step explanation:

Diameter= 16m

Radius= 16/2 = 8m

The area of the circle= πr^2

= π8^2

= 64π square metres.

An area of 8π square metres is also 1/8 of the total area, therefore the arc must be 1/8 of the circumference.

The circumference = 2πr = 16π,

This gives us an arc length of 2π metres.

But since we are looking for the the angle.

In degrees: 360/8 = 45°

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The answer for the given function is f( -12 ) = 240.

Step-by-step explanation:

Given:

f(x)=-21x-12

To Find :

F ( -12 ) = ?

Solution:

Function:

  1. A function is like a machine that gives an output for a given input.
  2. A function has an independent variable which is called the input of the function.
  3. The output for a given input is called the dependent variable.

For Example

f ( x ) = x + 3

x = independent variable

f ( x ) = Output for a given input

Here we have

f(x)=-21x-12\\Put\ x=-21\\\therefore f(-12) = -21\times -12 - 12\\\therefore f(-12) = 252 - 12\\\therefore f(-12) = 240

Therefore f(-12) = 240

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