(i)
In the figure (i) given below, ABCD is a square of side 14 cm. A, B, C and D are centres of the equal circles which touch externally in pairs. Find the area of the shaded region.
In the figure (ii) given below, the boundary of the shaded region in the given
diagram consists of three semi-circular arcs, the smaller being equal. If the
diameter of the larger one is 10 cm, calculate.
(i) the length of the boundary.
(ii) the area of the shaded region. (Take it to be 3.14)
Answers
Step-by-step explanation:
German: [ˈalbɛʁt ˈʔaɪnʃtaɪn] (About this soundlisten); 14 March 1879 – 18 April 1955) was a German-born theoretical physicist[5] who developed the theory of relativity, one of the two pillars of modern physics (alongside quantum mechanics).[3][6] His work is also known for its influence on the philosophy of science.[7][8] He is best known to the general public for his mass–energy equivalence formula E = mc2, which has been dubbed "the world's most famous equation".[9] He received the 1921 Nobel Prize in Physics "for his services to theoretical physics, and especially for his discovery of the law of the photoelectric effect",[10] a pivotal step in the development of quantum theory.
Albert Einstein
Einstein 1921 by F Schmutzer - restoration.jpg
Einstein in 1921
Born
14 March 1879
Ulm, Kingdom of Württemberg, German Empire
Died
18 April 1955 (aged 76)
Princeton, New Jersey, United States
Citizenship
Kingdom of Württemberg, part of the German Empire (1879–1896)[note 1]
Stateless (1896–1901)
Switzerland (1901–1955)
Austria, part of the Austro-Hungarian Empire (1911–1912)
Kingdom of Prussia, part of the German Empire (1914–1918)[note 1]
Free State of Prussia (Germany, 1918–1933)
United States (1940–1955)
Education
Federal Polytechnic School in Zurich (Federal teaching diploma, 1900)
University of Zurich (PhD, 1905)
Known for
General relativity
Special relativity
Photoelectric effect
E=mc2 (Mass–energy equivalence)
E=hf (Planck–Einstein relation)
Theory of Brownian motion
Einstein field equations
Bose–Einstein statistics
Bose–Einstein condensate
Gravitational wave
Cosmological constant
Unified field theory
EPR paradox
Ensemble interpretation
List of other concepts
Spouse(s)
Mileva Marić
(m. 1903; div. 1919)
Elsa Löwenthal
(m. 1919; died[1][2] 1936)
Children
"Lieserl" Einstein
Hans Albert Einstein
Eduard "Tete" Einstein
Awards
Barnard Medal (1920)
Nobel Prize in Physics (1921)
Matteucci Medal (1921)
ForMemRS (1921)[3]
Copley Medal (1925)[3]
Gold Medal of the Royal Astronomical Society (1926)
Max Planck Medal (1929)
Member of the National Academy of Sciences (1942)
Time Person of the Century (1999)
Step-by-step explanation:
)
In the figure (i) given below, ABCD is a square of side 14 cm. A, B, C and D are centres of the equal circles which touch externally in pairs. Find the area of the shaded region.
In the figure (ii) given below, the boundary of the shaded region in the given
diagram consists of three semi-circular arcs, the smaller being equal. If the
diameter of the larger one is 10 cm, calculate.
(i) the length of the boundary.
(ii) the area of the shaded region. (Take it to be 3.14)