Hi there!
Using the equation for the area of a circle, we can simply substitute pi with its numerical value of 3.14 and r with the radius given.
1.) Area = (3.14)(6cm)² = 113.0 cm²
2.) Area = (3.14)(28in)² = 2461.8 in²
3.) To find radius, first we must divide the diameter in half. So, 11/2 = 5.5 ft
Area = (3.14)(5.5ft)² = 95 ft²
4.) Similar to 3, to find radius, first we must divide the diameter in half. So, 10.5/2 = 5.25 in
Area = (3.14)(5.25in)² = 86.5 in²
5.) Area = (3.14)(6.3mm)² = 124.6 mm²
6.) Area = (3.14)(3

yd)² = 33.2 yd²
Let the first integer be x. Then the next consecutive integer is x+1.
Translating the word problem into symbols, x(x+1)-20(x+1) = 442.
Then x^2 + x - 20x - 20 = 442
or x^2 - 19x - 462 = 0
Solve by completing the square:
x^2 - 19x + 90.25 - 90.25 - 462 = 0
(x-9.5)^2 - 552.25 = 0
Taking the positive square root of both sides, we get x-9.5 = 23.5, or
x = 33
The two consecutive integers are 33 and 34.
Check: (33)(34)-20(34) = 442 (as expected).

via the angle sum identity for cosine.
Answer:x=−3
x=−2
Step-by-step explanation:
D = c-s/n
Dn = n(c-s/n)
Dn = c - s
Dn + s = c
<u><em>c = Dn +s</em></u>