find the are of the region in the first quadrant enclosed by the x-axis,the line y=x,and the circle x2+y2=32.
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8cm^2 is the required answer.
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4
Answer:
4 π sq unit
Step-by-step explanation:
x² + y² = 32
=> radius = √32 = 4√2 cm
Origin is cenetr
y = x will cut at
x² + x² = 32
=> 2x² = 32
=> x² = 16
=> x = ±4
in the first quadrant x = 4 , y = 4
Angle between x - axis and y = x
is Tan⁻¹(1/1) = 45°
Area of egion in the first quadrant enclosed by the x-axis,the line y=x,and the circle x² + y² = 32
= (45/360) π R²
= (1/8) π 32
= 4 π sq unit
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