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ale4655 [162]
3 years ago
10

A circle with radius \pink{6}6start color #ff00af, 6, end color #ff00af has a sector with a central angle of \purple{48^\circ}48

∘ start color #9d38bd, 48, degrees, end color #9d38bd. What is the area of the sector? Either enter an exact answer in terms of \piπpi or use 3.143.143, point, 14 for \piπpi and enter your answer as a decimal rounded to the nearest hundredth.
Mathematics
2 answers:
alexandr1967 [171]3 years ago
7 0

Answer:

Therefore,

The area of the sector is 15.09 unit².

Step-by-step explanation:

Given:

Circle with,

radius = r = 6 unit

central angle = θ = 48°

pi = 3.143

To Find:

Area of sector = ?

Solution:

If  'θ' is in degree the area of sector is given as

\textrm{Area of Sector}=\dfrac{\theta}{360}\times \pi r^{2}

Substituting the values we get

\textrm{Area of Sector}=\dfrac{48}{360}\times 3.143\times 6^{2}

\textrm{Area of Sector}=15.0864=15.09\ unit^{2} rounded to nearest hundredth

Therefore,

The area of the sector is 15.09 unit².

matrenka [14]3 years ago
3 0

Answer:

24/5 pi

Step-by-step explanation:

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