The circle shown has center o and radius 4. what is the area of the shaded region?
1 answer:
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Answer:
Area of Circle A = 1133.54
Circumference of Circle A= 119.32
Step-by-step explanation:
Given: Sum of both circle diameters= 49 feet.
Circle A radius= Three feet less than twice the diameter of circle B.
Lets assume diameter of Circle B is "x"
∴ Circle A radius (r)=
We know, the diameter of circle is
Diameter of Circle A is
Next as given sum of both circle diameter is 49 feet.
∴
distributing 2 with 2x and -3
⇒
⇒
Adding both side by 6
⇒
Cross multiplying both side.
⇒
∴ Diameter of circle B is 11 feet.
Next, subtituting the value of x to get the value of radius for Circle A.
Radius of circle A=
⇒ Radius of circle A=
∴ Radius of circle A= 19 feet.
Area of circle=
Taking π= 3.14
Area of circle A=
∴ Area of circle A= 1133.54
Circumference of circle= 2πr
Circumference of Circle A=
∴ Circumference of Circle A= 119.32
Answer:
P(A) = {{a},{b},{c},{a,b},{a,c},{b,c},{a,b,c},∅}
Step-by-step explanation:
➨ Power Set is the set of all subsets.
First, find the subset of A.
{a},{b},{c},{a,b},{a,c},{b,c},{a,b,c},∅
If you aren't sure that you already have written all subsets or not, use the following formula.
➩ where n is the number of element/members.
Our number of members are 3, use the following formula.
Thus, our subsets should be 8.
As we've already gathered all subsets, write the braces all whole subsets.
P(A) = {{a},{b},{c},{a,b},{a,c},{b,c},{a,b,c},∅}