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Find the area of the shaded region. Write your answers in terms of pi.

Find the area of the shaded region Write your answers in terms of pi class=

Respuesta :

msgondal0

Answer:

Area of shaded region is [tex]\pi[/tex]

Step-by-step explanation:

A = [tex]r^{2}[/tex]θ /2

Firstly, calculate the area of sector of radius  8cm.

A =8[tex]\pi[/tex]

Secondly, calculate the area of sector of radius  12cm.

A = 9[tex]\pi[/tex]

Calculate the difference = 9[tex]\pi[/tex]-8[tex]\pi[/tex] = [tex]\pi[/tex]

evgeniylevi

Answer:

10 (cm.²)

Step-by-step explanation:

1. the area of the circle with r=12 is: πr²=144π (cm²);

2. the area of the circle with r=8 is: 64 (cm²);

3. the area of the region between the radius 8 and 12 cm is: 144-64=80 (cm²);

4. the measure for the circle is 360°, then the area of the shaded region for 45° is: 45/360=A/80; ⇒ 10 (cm²).

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