From the center of the circle, the diameter of which is 20 cm, a perpendicular to its plane has been restored.
| January 29, 2021 | education
From the center of the circle, the diameter of which is 20 cm, a perpendicular to its plane has been restored. Find the distance from the end of this perpendicular to the points of the circle, if the length of this perpendicular is 50cm
The radius of the circle is half the diameter:
20/2 = 10 (cm).
The perpendicular, the arbitrarily drawn radius of the circle and the segment connecting their ends form a right-angled triangle, in which the perpendicular and the radius of the circle are legs.
The length of the hypotenuse of this triangle is the distance from the end of the perpendicular to the points of the circle, and it can be found using the Pythagorean theorem:
√ (10 * 10 + 50 * 50) = √ (100 + 2500) = √2600 = 10√26 (cm).
Answer: 10√26 cm.
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