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3 years ago

The radius of a circle is 4 feet. What is the area of a sector bounded by a 72° arc?

1 answer:

8 0

An angle whose vertex is the centre of a circle and whose sides pass through a pair of points on the circle is called a

central angle. The following symbol, pronounced “theta”, is

used to represent a central angle: .

Each central angle forms an arc length between the points

that it passes through on the circle. The arc length of a circle can be found by first calculating what fraction of the circle is represented by the central angle. Then you find the circumference of the circle. Finally, you find the fraction of that circumference. For example, if a circle has a radius of 10.0 cm and a central angle of 60°, to calculate the arc length for that angle we must first determine what fraction of the circle is represented by the central angle 60°. Since there are 360° in a full circle, we can find the fraction of a circle by simplifying ; The sector represents of the circle. To find the arc length, we now need to find the circumference

of the circle. Circumference of a circle is equal to 2 r.

C 5 2 r

5 2 10.0

62.8 cm The circumference of this circle is about 62.8 cm. To find the arc length, we need to find of 62.8 cm. 62.8 10.5 cm The arc length formed by this central angle is about 10.5 cm.

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Write 2^8 * 8^2 * 4^-4 in the form 2^n

Eva8 [605]

The given expression 2^8 * 8^2 * 4^-4 can be written in the exponential form 2^n as 2^6.

<h3>What are exponential forms?</h3>

The exponential form is a more convenient way to write repetitive multiplication of the same integer by using the base and its exponents.

For example:

If we have a*a*a*a, it can be written in exponential form as:

=a^4

where

a is the base, and
4 is the power.

The power in this format reflects the number of times we multiply the base by itself. The exponent is also known as the index or power.

From the information given:

We can write 2^8 * 8^2 * 4^-4 in form of 2^n as follows:

$\mathbf{= 2^8\times (2^3)^2 \times (2^2)^{-4} }$

$\mathbf{= 2^8\times (2^6) \times (2^{-8}) }$

$\mathbf{= 2^{8+6+(-8)}}$

$\mathbf{= 2^{6}}$

Therefore, we can conclude that by using the exponential form, the given expression 2^8 * 8^2 * 4^-4 in the form 2^n is 2^6.

Learn more about exponential forms here:

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4 0

2 years ago

Bryan paid $136.00 for an item at the store that was 20% off the original price. What was the original price?

Dennis_Churaev [7]

The original price was $270.00

4 0

3 years ago

I will give brainliest answer

adell [148]

Answer: A=351.68 cm²

Step-by-step explanation:

To find the area of the shaded region, we would subtract the area of the circle by the area of the inner circle.

Area of Circle

$A=\pi r^2$

$A=\pi (11)^2$

$A=121\pi$

Area of inner (white) circle

$A=\pi r^2$

$A=\pi (3)^2$

$A=9\pi$

Now that we have the area to the circle and inner circle, we would subtract to find the area of the shaded region.

$A=121\pi -9\pi$

$A=112\pi$

$A=351.68 cm^2$

3 0

3 years ago

[tex]2yx^{4} x 5yx^{3}

Paladinen [302]

Answer:B

Step-by-step explanation: hopes this helps

4 0

3 years ago

What's the standard form of 8 million

hodyreva [135]

8,000,000- standard form

hey here is a quick tip:
Standard form means- like yu know regular numbers in numbers, if you get it
Expanded form its likeexample890: 800+90+0 that is quick exam-ple(:

3 0

3 years ago