The area of an equilateral triangle ABC is 17320.5 cm2. With each vertex of the triangle as centre, a circle is drawn with radius equal to half the length of the side of the triangle (See the given figure). Find the area of shaded region. [Use π = 3.14 and]
plz answer this question....and plz tell me step by step......can anyone...help me..
Let the side of the equilateral triangle be a.
Area of equilateral triangle = 17320.5 cm2
Each sector is of measure 60°.
Area of sector ADEF
Area of shaded region = Area of equilateral triangle − 3 × Area of each sector
area of ABC = 1.743205/4 a2
17320.5 = 1.73205/4 a2
17320.5 * 4 / 1.73205
a2 = 10000 * 4
a2 = 40000
a = 200cm
radius = a/2
radius = 100 cm
area of three sectors = 3( theta/360 pie r2)
6 0/ 360 * 3.14 * 100 *100)
3(1/ 6 * 314 * 100)
area of shaded region = aria of ABC - areaof three sectors
area of shaded region = 17320.5 - 15700
area of shaded region = 1620.5 cm2
1620.5 cm2is the area of the shaded region! :D
what matttttttt said is correct.
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