Answer:
1)Area; A = ¼πr²
Perimeter; P = πr/2 + 2r
2)A = 19.63 cm²
P = 17.85 cm
3) r = 8.885 cm
4) r = 14 cm
Step-by-step explanation:
This is a quadrant of a circle. Thus;
Area of a circle is πr². A quadrant is a quarter of a circle. Thus;
Formula for Quadrant Area is; A = ¼πr²
A) Perimeter of a circle is 2πr. Thus, perimeter of a quadrant is a quarter of the full circle perimeter.
Formula for the quadrant perimeter in the image given is;
P = 2πr/4 + 2r
P = πr/2 + 2r
B) When r is 5 cm;
A = ¼π(5)²
A = 19.63 cm²
P = π(5)/2 + 2(5)
P = 17.85 cm
C) when A is 100cm²:
¼πr² = 100
r² = 100 × 4/π
r² = 78.9358
r = √78.9358
r = 8.885 cm
D) when P = 50 cm.
50 = πr/2 + 2r
50 = (½π + 2)r
r = 50/(½π + 2)
r = 14 cm
Answer: The number of different ways she could arrange the carpet squares is 36!.
Step-by-step explanation:
We know that , the number of ways to arrange n things = n!
Given that , Your teacher has 36 carpet squares.
i.e. The total number of carpet squares = 36
If she needs to make a new arrangement for the reading carpet.
Then, the total number of arrangement of carpet squares would be 36!.
Hence , the number of different ways she could arrange the carpet squares is 36!
They are all supplementary to each other because supplementary means that they all add up to 180
