Find the area of this circle.
1 answer:
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Answer:
Step-by-step explanation:
1). Since, XM is the radius of the circle,
Therefore, area of the circle =
=
=
= 452.39 units²
2). Circumference of a circle = 2πr
= 2π(XM)
= 2π(12)
= 24π
= 75.40 units
3). By applying Pythagoras theorem in ΔYXM,
YM² = XY² + XM²
(43)²= (XY)² + (12)²
1849 - 144 = (XY)²
XY = 41.29 units
4). tan(∠M) =
=
m∠M =
= 73.79°
5). Area of ΔXYM =
=
= 247.74 square units
6). Area of the minor sector created by ΔXYM =
=
= 92.73 units²