The circle shown has center o and radius 4. what is the area of the shaded region?

Mathematics

1 answer:

Vlad [161]4 years ago

3 0

The ratio of his savings: expenses = 7: 5

So, total of the ratio is = 7 +5 =12

His savings will be 7/12* allowance

His expenses will be 5/12 * allowance

We know that the allowance that he gets is $3

His savings = 7/12 * allowances

His savings = 7/12 * 3

His savings = $7/4 or 1 ¾

Now, we convert the 7/4 (or 1 ¾) into a decimal.

1 ¾ when converted is decimal is 1.75

His Savings = $1.75

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The circumference of the equator of a sphere was measured to be 82 82 cm with a possible error of 0.5 0.5 cm. Use linear approxi

True [87]

Answer:

The maximum error in the calculated surface area is approximately 8.3083 square centimeters.

Step-by-step explanation:

The circumference ( $s$ ), in centimeters, and the surface area ( $A_{s}$ ), in square centimeters, of a sphere are represented by following formulas:

$A_{s} = 4\pi\cdot r^{2}$ (1)

$s = 2\pi\cdot r$ (2)

Where $r$ is the radius of the sphere, in centimeters.

By applying (2) in (1), we derive this expression:

$A_{s} = 4\pi\cdot \left(\frac{s}{2\pi} \right)^{2}$

$A_{s} = \frac{s^{2}}{\pi^{2}}$ (3)

By definition of Total Differential, which is equivalent to definition of Linear Approximation in this case, we determine an expression for the maximum error in the calculated surface area ( $\Delta A_{s}$ ), in square centimeters: