Answer:
Option C (4096π in²)
Step-by-step explanation:
Area of the circle = 256π in²
We know that , where r = radius of the circle
So,
Cancelling π from both the sides,
The radius of the circle = 16 in.
When the radius is multiplied with 4 , new radius = 16×4 = 64 in.
New Area =
Answer:
The theater has 32 rows
Step-by-step explanation:
The rule of the sum of n terms of an arithmetic sequence is S =
(a + l), where
∵ The number of seats per row follows an arithmetic sequence
∵ The first row has 26 seats
∴ a = 26
∵ The last row has 150 seats
∴ l = 150
∵ The theater seats are 2,816
∴ S = 2,816
→ Substitute these values in the rule of the sum above to find n
∵ 2,816 = (26 + 150)
∴ 2,816 = (176)
∴ 2,816 = 88n
→ Divide both sides by 88
∴ 32 = n
∵ n represents the number of the rows
∴ The theater has 32 rows