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AURORKA [14]
3 years ago
15

The sides of ∠A are tangent to circle k(O) with radius r. Find: r, if OA=14 dm, m∠A=90°.

Mathematics
2 answers:
Alex_Xolod [135]3 years ago
6 0

Answer:

r = √98

Step-by-step explanation:

angle A and the diameter form an isosceles right triangle, with OA as the hypotenuse and r as the other sides. You can then make and solve an equation from the Pythagorean Theorem:

r^2 + r^2 = 14^2

2r^2 = 14^2

2r^2 = 196

r^2 = 98

r = √98

Anvisha [2.4K]3 years ago
4 0

Answer:

Step-by-step explanation:

Alright, lets get started.

Please refer the diagram I have attached.

The angle A is 90 degree.

The side OA is 14.

There will be a right triangle formed.

So, Using Pythagorean theorem,

r^2+r^2=14^2

2r^2=196

Dividing 2 in both sides

r^2=\frac{196}{2}=98

r=\sqrt{98}

r=7\sqrt{2}

So,the answer is 7\sqrt{2}     :     Answer

Hope it will help :)

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