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dexar [7]
2 years ago
9

11. Find the area of the given figure?

Mathematics
2 answers:
adoni [48]2 years ago
7 0

Answer:

9.62 cm²

Step-by-step explanation:

<h2>Area of sector</h2>

 diameter = 7 cm

              r = 7 ÷2 = 3.5 cm

             Ф = 45°

  \sf \boxed{\text{\bf Area of sector = $\dfrac{\theta}{360}*\pi r^2$}}  

                              \sf =\dfrac{45}{360}*3.14*3.5*3.5\\\\   = 4.81 \ cm^2

Area of the given sectors = 2 *4.81

                                           = 9.62 cm²

                           

il63 [147K]2 years ago
5 0

Hello!

<u>Let's solve this in step</u>

<u>Let's find the circular region to the left of the center</u>:

  Area = \frac{45}{360}*Area_.formuka_.of_.Circle =\\ Area = \frac{45}{360}*\pi (radius)^2\\ Area = \frac{45}{360} *\pi (3.5)^2\\Area=4.81

<u>Now let's find the circular region to the right of the center</u>

 ⇒ the angle 45° by the vertical angle theorem is equal to the angle  

      opposite it in the other circular region

     ⇒ has the same area as the left region

<u>Total Area = 4.81 + 4.81 = 9.62 cm²</u>

<u>Answer: 9.62 square centimeters</u>

Hopefully that helps!

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