The area enclosed between the curve x^2 + y^2 = 16 and the coordinate axes in the first quadrant is : Option 1: 12 sq. units Option 2: 8 sq. units Option 3: 4 sq. units Option 4: 2 sq. units

Answer: 4 sq. units. Solution: Circle x^2+y^2=16 has radius 4. Total area = r^2=16. Area in first quadrant =(16)/4=4 sq. units.

Calculus

Application of Integrals

Easy

core

The area enclosed between the curve $x^2 + y^2 = 16$ and the coordinate axes in the first quadrant is :

$12\pi$ sq. units

$8\pi$ sq. units

$4\pi$ sq. units

$2\pi$ sq. units

✅ Correct Option: 3

Circle $x^2+y^2=16$ has radius 4. Total area $=\pi r^2=16\pi$ .

Area in first quadrant $=\frac{16\pi}{4}=4\pi$ sq. units.

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