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Nookie1986 [14]
4 years ago
15

The radius of the circle is ✓2. The distance from the center to the chord is 1. If the measure of AB is 90°, the area of the sha

ded region is

Mathematics
1 answer:
8_murik_8 [283]4 years ago
3 0

Answer:

  c.  (π/2 -1) square units

Step-by-step explanation:

A segment that subtends an arc of θ in a circle of radius r has an area given by ...

  A = (1/2)(θ -sin(θ))r² . . . . . where θ is in radians

In your figure, the radius is r = √2 and the angle is 90°, so θ = π/2. Then the area is ...

  A = (1/2)(π/2 -sin(π/2))·(√2 units)²

  A = (π/2 -1) units²

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