What is the value of the missing angle? The options are: 80, 90, 170, and 260 degrees.
1 answer:
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Note: As you can see on the attached picture, I've split the shape into three chunks. By comparing the sides and using some subtraction I came up with some information that will make the problem easier and wrote it in green. If you have any problems following my logic there, feel free to send me a message of comment under this and I'll elaborate.
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Left Most Chunk:
-The formula for finding the area of a circle is A=πr^2. In this problem we are finding 1/4th of a circle so the formula would look like A=1/4(πr^2).
-Radius(r): 9
-Work:
A=1/4(πr^2)
A=1/4(π9^2)
A=1/4(π81)
A=1/4(π81)
keeping in mind to use 3.14 for pi...
A=1/4(254.34)
A=63.585 sq ft
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Middle Chunk:
-This is basic area finding (Lenghth x Width)
-Work:
A= l x w
A = 13 x 6
A= 78 sq ft
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Right Most Chunk:
-This is basic area finding (Lenghth x Width)
-Work:
A= l x w
A = 7 x 5
A= 35 sq ft
————
Total Area:
-Work:
63.585 + 78 + 35 =
176.585
————
Answer: 176.585 square feet
Note: As you can see on the attached picture, I've split the shape into three chunks. By comparing the sides and using some subtraction I came up with some information that will make the problem easier and wrote it in green. If you have any problems following my logic there, feel free to send me a message of comment under this and I'll elaborate.
————
Left Most Chunk:
-The formula for finding the area of a circle is A=πr^2. In this problem we are finding 1/4th of a circle so the formula would look like A=1/4(πr^2).
-Radius(r): 9
-Work:
A=1/4(πr^2)
A=1/4(π9^2)
A=1/4(π81)
A=1/4(π81)
keeping in mind to use 3.14 for pi...
A=1/4(254.34)
A=63.585 sq ft
————
Middle Chunk:
-This is basic area finding (Lenghth x Width)
-Work:
A= l x w
A = 13 x 6
A= 78 sq ft
————
Right Most Chunk:
-This is basic area finding (Lenghth x Width)
-Work:
A= l x w
A = 7 x 5
A= 35 sq ft
————
Total Area:
-Work:
63.585 + 78 + 35 =
176.585
————
Answer: 176.585 square feet