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.
Telegram announces Search Filters
With the help of the Search Filters option, users can now filter search results by type. They can do that by using the new tabs: Media, Links, Files and others. Searches can be done based on the particular time period like by typing in the date or even “Yesterday”. If users type in the name of a person, group, channel or bot, an extra filter will be applied to the searches.
