Find the area of the following shape, given its curves are made from parts of circles with diameters indicated on the diagram. G
ive your answers in terms of π .
1 answer:
Answer: Area = 26π + 20 cm²
<u>Step-by-step explanation:</u>
There are 2 large semicircles = 1 large circle
There are 2 small semicircles = 1 small circle
There is 1 rectangle.
Find the Area of each shape above and then find their sum.
1) Large Circle: A = πr², d = 10 --> r = 10/2 = 5
A = π(5)²
= 25π
2) Small Circle: A = πr² , d = 2 --> r = 2/2 = 1
A = π(1)²
= π
3) Rectangle: A = length × width, L = 10 w = 2
A = 10 × 2
= 20
Total = Large + Small + Rectangle
= 25π + π + 20
= 26π + 20
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