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nasty-shy [4]
3 years ago
8

Please help me!!!!! please explaining your answer = brainliest

Mathematics
2 answers:
jasenka [17]3 years ago
6 0

Answer:

42.39 sq.cm

Step-by-step explanation:

Ф = 135°

r  = 6 cm

Area of the sector = \frac{theta}{360}*\pi *r^{2}\\

  = \frac{135}{360}* 3.14 *6 * 6\\\\=  \frac{135}{10}*3.14\\\\= 27 * 1.57\\\\=42.39

maksim [4K]3 years ago
3 0

The area of sector bounded by 135 ° arc is 42.42 cm ².

Step-by-step explanation:

<h3><u>Given</u> :-</h3>

Radius of the circle , r = 6 cm

Angle of the circle, θ = 135 °

<h3><u>To Find</u> :-</h3>

Area of circle bounded by a 135 ° arc.

<h3><u>Solution</u> :-</h3>

We know that

\small \sf \: Area \: of \: sector \:  =  \frac{θ}{360} \:  \times \pi \times r {}^{2} \\

Substitute the values of r and θ , we get

Area of sector =

\small \sf \: Area \: of \: sector \:  =  \frac{135 °}{360} \:  \times \pi \times {6cm}^{2}\\

\small \sf \: Area \: of \: sector \:  =  \frac{135°}{360} \:  \times \frac{22}{7} \times 6cm \times 6cm \\  \\    \small \: \sf  Area \:  of \:  circle \: =  \frac{135}{360} \times  \frac{22}{7} \times 36cm {}^{2}  \\  \sf \:  \:  =  \frac{135}{10} \times  \frac{22}{7} \\  \sf \:  = 42.42cm \:  {}^{2}

Therefore, The area of sector bounded by 135 ° arc is 42.42 cm ².

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