129k views
15 votes
11. Find the area of the given figure?

11. Find the area of the given figure?-example-1
User Ahaurat
by
7.2k points

2 Answers

4 votes

Answer:

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

User Derek Dysart
by
7.2k points
4 votes

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!

User Nmichaels
by
8.1k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.