Tilakthapaidn
Answered

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Find area of shaded region if
Theta = 60°
Radius (r = 5cm)​

Find Area Of Shaded Region IfTheta 60Radius R 5cm class=

Sagot :

Answer:

≈ 13.1 cm²

Step-by-step explanation:

The area (A) of the sector is calculated as

A = area of circle × fraction of circle

   = πr² × [tex]\frac{60}{360}[/tex]

   = π × 5² × [tex]\frac{1}{6}[/tex]

   = 25π ÷ 6

   ≈ 13.1 cm² ( to 1 dec. place )

Rebeccarayshmaidn

Answer:

area = 13.1 cm²

Step-by-step explanation:

area of sector formulae:

[tex] \frac{theta}{360} \times \pi {r}^{2} [/tex]

theta = 60°

radius = 5 cm

π = 22/7

substitute the values into the formulae

[tex] \frac{60}{360} \times \frac{22}{7} \times {5}^{2} [/tex]

[tex] \frac{1}{6} \times \frac{22}{7} \times 25[/tex]

[tex] \frac{1}{6} \times \frac{25 \times 22}{7} [/tex]

[tex] \frac{1}{6} \times \frac{550}{7} [/tex]

[tex] \frac{550 \times 1}{6 \times 7} [/tex]

[tex] \frac{550}{42} [/tex]

[tex]13.1 \: cm {}^{2} [/tex]

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