What is 8.865 rounded to the nearest whole number?

Mathematics

1 answer:

Alina [70]2 years ago

4 0

Answer:

Step-by-step explanation:

8.865 to the nearest whole number is 9, nine is a whole number because there are no decimals following, and since the number "8" is greater than 5, we round up, which would cause it to be 8.900, so to the nearest whole number, it would be 9.

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What is the arc length of the subtending arc for an angle of 72 degrees on a circle of radius 4?

deff fn [24]

Let $L$ be the length of an arc subtended by an angle of $\theta$ on a circle of radius $r$ . Then the ratio of the arc's length to its subtended angle is proportional with the circle's entire circumference to one complete revolution:

$\dfrac{2\pi r}{2\pi}=\dfrac{L}{\theta}$

Solving for $L$ yields the formula for arc length of a circular arc,

$L=r\theta$

where $\theta$ is in radians. To convert to degrees, use the conversion factor $\dfrac{180^\circ}{\pi\text{ rad}}$ .

$L=4\times\left(72^\circ\times\dfrac{\pi\text{ rad}}{180^\circ}\right)=4\times\dfrac{2\pi}5=\dfrac{8\pi}5\approx5.0265$