a. Two concentric circles have radii of 6 mm and 12 mm. A segment tangent to...

a. Two concentric circles have radii of 6 mm and 12 mm. A segment tangent to the smaller circle is a chord of the larger circle. What is the length of the segment to the nearest tenth?

b. A student inscribes an angle inside a semicircle to form a triangle. The measures of the angles that are not the vertex of the inscribed angle are x and 2x-9. Find the measures of all three angles of the triangle. Explain how you got your answer.

c. Two circles in the coordinate plane with congruent radii intersect in exactly two points. Why is it not possible for these circles to be concentric?

d. A gardener wants the three rosebushes in her garden to be watered by a rotating water sprinkler. To help her, you draw a diagram of the garden using a grid in which each unit represents 1 foot. The rosebushes are at points (1, 3), (5, 11), and (11, 4). She wants to position the sprinkler at a point equidistant from each rosebush . Where would you recommend placing the sprinkler? What equation describes the boundary of the circular region that the sprinkler will cover?

Expert Solution

According to the given guidelines, since there are more number of questions, I am answering only first 2 questions.

milcah answered 2 years ago

Two concentric circles are of radii 5 cm and 3 cm. Determine the length of the chord of the larger circle which touches the smaller circle.

The radii of two circles are 8 cm and 6 cm respectively. Find the radius of the circle having area equal to the sum of the areas of the two circles.

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1 - The plates of a spherical capacitor have radii of 38.9 mm and 40.2 mm....

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