(a)
The length of radii of the given circle.
![Check Mark](/static/check-mark.png)
Answer to Problem 18A
Radius length of given circle is 4 inch.
Explanation of Solution
Given information:
A circle is given whose area is
50.24 square inch.
Calculation:
As we know that area of a circle is given by -
A=π×R2
So, radius length of the circle will be - R=√Aπ
Here, area of the given circle is 50.24 square inch. i.e. A=50.24 square inch.
So, area of the circle will be -
R=√Aπ⇒R=√50.243.14 square inch {Put A=50.24 square inch}⇒R=√16 square inch⇒R=√4 inch × 4 inch⇒R=4 inch.
Hence, radius of given circle is 4 inch.
(b)
The length of radii of the given circle.
![Check Mark](/static/check-mark.png)
Answer to Problem 18A
Radius length of given circle is 2 inch.
Explanation of Solution
Given information:
A circle is given whose area is 12.56 square inch.
Calculation:
As we know that area of a circle is given by -
A=π×R2
So, radius length of the circle will be - R=√Aπ
Here, area of the given circle is 12.56 square inch. i.e. A=12.56 square inch.
So, area of the circle will be -
R=√Aπ⇒R=√12.563.14 square inch {Put A=12.56 square inch}⇒R=√4 square inch⇒R=√2 inch × 2 inch⇒R=2 inch.
Hence, radius of given circle is 2 inch.
(c)
The length of radii of the given circle.
![Check Mark](/static/check-mark.png)
Answer to Problem 18A
Radius length of given circle is 10 mm.
Explanation of Solution
Given information:
A circle is given whose area is 314 square mm.
Calculation:
As we know that area of a circle is given by -
A=π×R2
So, radius length of the circle will be - R=√Aπ
Here, area of the given circle is 314 square mm. i.e. A=314 square mm.
So, area of the circle will be -
R=√Aπ⇒R=√3143.14 square mm {Put A=314 square mm}⇒R=√100 square mm⇒R=√10 mm × 10 mm⇒R=10 mm.
Hence, radius of given circle is 10 mm.
(d)
To workout the length of radii of the given circle.
![Check Mark](/static/check-mark.png)
Answer to Problem 18A
Radius length of given circle is 3 inch.
Explanation of Solution
Given information:
A circle is given whose area is 28.26 square inch.
Calculation:
As we know that area of a circle is given by -
A=π×R2
So, radius length of the circle will be - R=√Aπ
Here, area of the given circle is 28.26 square inch. i.e. A=28.26 square inch.
So, area of the circle will be -
R=√Aπ⇒R=√28.263.14 square inch {Put A=28.26 square inch}⇒R=√9 square inch⇒R=√3 inch × 3 inch⇒R=3 inch.
Hence, radius of given circle is 3 inch.
(e)
The length of radii of the given circle.
![Check Mark](/static/check-mark.png)
Answer to Problem 18A
Radius length of given circle is 7 mm.
Explanation of Solution
Given information:
A circle is given whose area is 153.86 square mm.
Calculation:
As we know that area of a circle is given by -
A=π×R2
So, radius length of the circle will be - R=√Aπ
Here, area of the given circle is 153.86 square mm. i.e. A=153.86 square mm.
So, area of the circle will be -
R=√Aπ⇒R=√153.863.14 square mm {Put A=153.86 square mm}⇒R=√49 square mm⇒R=√7 mm × 7 mm⇒R=7 mm.
Hence, radius of given circle is 7 mm.
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Chapter 15 Solutions
EBK MATHEMATICS FOR MACHINE TECHNOLOGY
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