Question

11. Find the area of the given figure?

Answer 1

9.62 cm²

Explanation:

Area of sector

diameter = 7 cm

r = 7 ÷2 = 3.5 cm

Ф = 45°

`\sf \boxed{\text{\bf Area of sector = $(\theta)/(360)*\pi r^2$}}`

`\sf =(45)/(360)*3.14*3.5*3.5\\\\ = 4.81 \ cm^2`

Area of the given sectors = 2 *4.81

= 9.62 cm²

Answer 2

Hello!

Let's solve this in step

Let's find the circular region to the left of the center:

`Area = (45)/(360)*Area_.formuka_.of_.Circle =\\ Area = (45)/(360)*\pi (radius)^2\\ Area = (45)/(360) *\pi (3.5)^2\\Area=4.81`

Now let's find the circular region to the right of the center

⇒ 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

Total Area = 4.81 + 4.81 = 9.62 cm²

Answer: 9.62 square centimeters

Hopefully that helps!