ABCD is a square with side a. In centres A,B,C and D four circles are drawn such that each circle touches externally two of the three remaining circles. Let δ be the area interior of the square and exterior of the circles. What is the value of δ?
δ = Shaded area δ = Area of a square - (4 x ¼ area of a circle) = a² - (area of a circle) = a² - πr² but r = ᵃ⁄₂ = a² - π(ᵃ⁄₂)² = a² - ((πa²) ÷ 4) = (4a² - πa²) ÷ 4 = a² [(4 - π) ÷ 4]
ABCD is a square with side a. In centres A,B,C and D four circles are drawn such that each circle touches externally two of the three remaining circles. Let δ be the area interior of the square and exterior of the circles. What is the value of δ?
δ = Shaded area δ = Area of a square - (4 x ¼ area of a circle) = a² - (area of a circle) = a² - πr² but r = ᵃ⁄₂ = a² - π(ᵃ⁄₂)² = a² - ((πa²) ÷ 4) = (4a² - πa²) ÷ 4 = a² [(4 - π) ÷ 4]
A Telegram spokesman declined to comment on the bond issue or the amount of the debt the company has due. The spokesman said Telegram’s equipment and bandwidth costs are growing because it has consistently posted more than 40% year-to-year growth in users.
That strategy is the acquisition of a value-priced company by a growth company. Using the growth company's higher-priced stock for the acquisition can produce outsized revenue and earnings growth. Even better is the use of cash, particularly in a growth period when financial aggressiveness is accepted and even positively viewed.he key public rationale behind this strategy is synergy - the 1+1=3 view. In many cases, synergy does occur and is valuable. However, in other cases, particularly as the strategy gains popularity, it doesn't. Joining two different organizations, workforces and cultures is a challenge. Simply putting two separate organizations together necessarily creates disruptions and conflicts that can undermine both operations.
