1. Alex is painting large polka dots on a sheet for the backdrop of the school musical. He painted 16 polka dots, each with a radius of 3 feet. What is the total area that the polka dots cover?
= 452.16 feet is the total area
Step by Step Explanation:
>> Let us first find the diameter of 1 polka dot if its radius is 3 feet.
Area = pi r^2
= ( 3.14 ) ( 3 )^2
= ( 3.14 ) ( 9 )
Area = 28.26
>> Then multiply 28.26 by the number of the polka dots ( 16 )
28.26 x 16 = 452.16
2. Mrs. Sol Vea was challenged to make a two layered cake with the diameter of 16 inches and 14 inches. What is the area of the 1st layer of the cake? How about the whole cake?
= 1st layer - 200.96
= Whole cake - 354.82
Step by Step Explanation:
>> Let us first find the area of the 1st layer
- The diameter is 16, divide 16 by 2 to get the radius ( 16 ÷ 2 = 8 )
- Solve the area using the formula a = pi r^2
Area = pi r^2
= ( 3.14 ) ( 8 ) ^2
= ( 3.14 ) ( 64 )
Area = 200.96
>> Now, lets solve the area of the 2nd layer and add it to the area of the 1st layer to get the area of the whole cake.
- The diameter is 14, divide 14 by 2 to get the radius ( 14 ÷ 2 = 7 )
- Solve the area using the formula a = pi r^2
Area = pi r^2
= ( 3.14 ) ( 7 ) ^2
= ( 3.14 ) ( 49 )
Area = 153.86
>> Add 153.86 to 200.96 = 354. 82
#CarryOnLearning
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NotLiamn
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Answers & Comments
1. Alex is painting large polka dots on a sheet for the backdrop of the school musical. He painted 16 polka dots, each with a radius of 3 feet. What is the total area that the polka dots cover?
= 452.16 feet is the total area
Step by Step Explanation:
>> Let us first find the diameter of 1 polka dot if its radius is 3 feet.
Area = pi r^2
= ( 3.14 ) ( 3 )^2
= ( 3.14 ) ( 9 )
Area = 28.26
>> Then multiply 28.26 by the number of the polka dots ( 16 )
28.26 x 16 = 452.16
2. Mrs. Sol Vea was challenged to make a two layered cake with the diameter of 16 inches and 14 inches. What is the area of the 1st layer of the cake? How about the whole cake?
= 1st layer - 200.96
= Whole cake - 354.82
Step by Step Explanation:
>> Let us first find the area of the 1st layer
- The diameter is 16, divide 16 by 2 to get the radius ( 16 ÷ 2 = 8 )
- Solve the area using the formula a = pi r^2
Area = pi r^2
= ( 3.14 ) ( 8 ) ^2
= ( 3.14 ) ( 64 )
Area = 200.96
>> Now, lets solve the area of the 2nd layer and add it to the area of the 1st layer to get the area of the whole cake.
- The diameter is 14, divide 14 by 2 to get the radius ( 14 ÷ 2 = 7 )
- Solve the area using the formula a = pi r^2
Area = pi r^2
= ( 3.14 ) ( 7 ) ^2
= ( 3.14 ) ( 49 )
Area = 153.86
>> Add 153.86 to 200.96 = 354. 82
#CarryOnLearning