The length of a rope by which a cow is tethered is increased from 16m to 23m. How much additional area can the cow graze now
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If we tie the cow with a rope then it forms a sector where the cow can graze.
Remember it's always taken at 90°
Thus area of sector = area that cow can graze
Area of sector = Ф/360*πr²
Area increased for cow = 90/360*π*23*23 - (90/360*π*16*16)
90/36*22/7*( 23*23-16*16 )
1/4*22/7*529-256
1/4*22/7*273
286m² is the increased area where the cow can graze.
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Answer:
If we tie the cow with a rope then it forms a sector where the cow can graze.
Remember it's always taken at 90°
Thus area of sector = area that cow can graze
Area of sector = Ф/360*πr²
Area increased for cow = 90/360*π*23*23 - (90/360*π*16*16)
90/36*22/7*( 23*23-16*16 )
1/4*22/7*529-256
1/4*22/7*273
286m² is the increased area where the cow can graze.
Step-by-step explanation:
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