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May 9, 2019
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Here is the question
Mathematics
high-school
Shailesh Sonare
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Shailesh Sonare
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2
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4
votes
The area is 5π
/2 in
²
and the perimeter is 3
π+2
in.
Step-by-step explanation:
The area of a circle is given by the formula A=
π
*r
²
. The top part of the figure is half a circle that has a radius of 2; this means the area would be
A=(1/2)
π
*2
²
= (1/2)
π
*4 = 2
π
.
The bottom part of the figure is half a circle with a diameter of 2; since the diameter is twice as long as the radius, this means the radius is 2/2 = 1, and the area would be A=(1/2)
π
*1
²
= 1/2
π
.
Adding these, we have 2 1/2
π
, which can be written as 5
π
/2.
The perimeter of a circle is the circumference, which is given by the formula C=
π
*d. The top part has a radius of 2, so the diameter is 2*2=4; this makes the circumference C=1/2(
π
)(4) = 2
π
.
The bottom part has a diameter of 2, which makes the circumference C=1/2(
π
)(2) = 1
π
.
Together this gives us 3
π.
We also must add the length of CD to this; CD=2, which gives us 3
π+2
.
Tobiasg
answered
May 11, 2019
by
Tobiasg
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5
votes
The upper semicircle ABCD has radius R=2 and area
and the lower semicircle AD has radius r=1 and area
. The whole fugure area is
.
The perimeter consists of upper semicircle length, lower semicircle length and CD length.
and the perimeter
Adan
answered
May 15, 2019
by
Adan
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