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liubo4ka [24]
4 years ago
6

Help me find the arc length of this. Thank you.

Mathematics
1 answer:
BabaBlast [244]4 years ago
4 0

The red chord is a diameter of the circle, so the length of the blue arc is half the circle's circumference.

The circumference of a circle with diameter d is \pi d, so the circle has circumference 8\pi, and so the arc has length 4\pi.

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Which expression is equivalent to Negative 2 and one-fourth divided by negative two-thirds? StartFraction 9 over 4 EndFraction d
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Answer:

The correct answer is:

Negative StartFraction 9 over 4 EndFraction divided by two-thirds

i.e.

-\dfrac{9}{4} \div \dfrac{2}{3}

Step-by-step explanation:

We have to find equivalent expression to :

Negative 2 and one-fourth divided by negative two-thirds

i.e.

-2\dfrac{1}{4} \div \dfrac{2}{3} = ?

We have to convert the the mixed fraction form -2\frac{1}{4} to simpler \frac{p}{q} fraction form.

Let us learn the concept first.

Mixed fraction is combination of a whole number and a fraction.

Expression of the form a\frac{b}{c} have the following understanding:

c is the divider

b is the remainder and

a is the quotient.

To convert mixed fraction to fraction we can use the following:

a\dfrac{b}{c} = \dfrac{a \times c+b}{c}

\therefore -2\dfrac{1}{4} = -\dfrac{(2 \times 4+1)}{4} = -\dfrac{9}{4}

Hence

-2\dfrac{1}{4} \div \dfrac{2}{3} = -\dfrac{9}{4} \div \dfrac{2}{3}

i.e. the given expression is equivalent to :

Negative StartFraction 9 over 4 EndFraction divided by two-thirds

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