4 years ago

Find the length of an arc of 40° in a circle with an 8 inch radius.

2 answers:

7 0

The length of an arc is the fraction of its circumference based on the given intercepted angle. This is given by the equation,
L (arc) = (Angle / 360) x 2πr
Substituting the known values,
L (arc) = (40 / 360) x 2π(8 inch) = 16π/9 inch
Thus, the length of the arc is approximately equal to 5.585 inches.

mario62 [17]4 years ago

7 0

Answer: 8π/9 plz give brainlies.

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3 years ago

The perimeter of a rectangular metal plate is 15 cm. Find the length of the rectangular plate (in decimals) whose width is 228 c

scoray [572]

The Solution.

Representing the problem in a diagram, we have

By formula,

$P=2(L+W)$

In this case,

$P=15\operatorname{cm},L=?,W=\frac{22}{8}cm$

Substituting these values in the formula above, we get

$15=2(L+\frac{22}{8})$

Clearing the bracket, we get

$15=2L+(2\times\frac{22}{8})$ $\begin{gathered} 15=2L+\frac{11}{2} \\ \\ 15=2L+5.5 \end{gathered}$ $\begin{gathered} 15-5.5=2L \\ 9.5=2L \end{gathered}$

Dividing both sides by 2, we get