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3 years ago

A circle with area 100π has a sector with a central angle of 2/5π radians.

Mathematics

1 answer:

Snowcat [4.5K]3 years ago

3 0

Answer:

20π square units

Step-by-step explanation:

The sector area is found using the proportion ...

sector area / circle area = sector angle / whole circle angle

Multiplying by "circle area", we get ...

sector area = (circle area)( sector angle / whole circle angle)

= (100π)(2/5π)/(2π)

= (100π)(1/5)

sector area = 20π

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Answer:

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Step-by-step explanation:

From the question we are told that

The length of the string is $n$

Generally palindrome is evaluated by considering the first part of a string

When the the length of the string is an even number then

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Hence the number of bit strings of length n that are palindromes is evaluated as

$p(n_{even }) = 2^{\frac{n}{2} }$

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$p(n_{odd }) =2^{\frac{n -1}{2} +1 } = 2^{\frac{n +1}{2} }$

Generally each bit could be either 0 or 1

Hence the number of palindromes is

$2^{\frac{n}{2} }$ when n is even and

$2^{\frac{n +1}{2} }$ when n is odd

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