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2 years ago

A circle with area 100π has a sector with a central angle of 2/5π radians.

Mathematics

1 answer:

Snowcat [4.5K]2 years ago

3 0

Answer:

20π square units

Step-by-step explanation:

The sector area is found using the proportion ...

sector area / circle area = sector angle / whole circle angle

Multiplying by "circle area", we get ...

sector area = (circle area)( sector angle / whole circle angle)

= (100π)(2/5π)/(2π)

= (100π)(1/5)

sector area = 20π

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2 years ago

Please solve this question!!

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Answer: (i) 1/221 (ii) 11/221 (iii) 95/663 (iv) 1/663

Step-by-step explanation:

(i) A deck of cards contains 4 Kings out of 52 total cards

1st draw: 4 Kings out of 52 total cards → 4/52 = 1/13

2nd draw: 3 remaining Kings out of 51 total remaining cards → 3/51 = 1/17

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(ii) A deck of cards contains 4 Jacks, 4 Queens, & 4 Kings out of 52 total cards

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(iiI) A deck of cards contains 26 black cards out of 52 total cards but there are 2 black Jacks, 2 black Queens, and 2 black Kings.

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2nd draw: 19 remaining Black (not Face) cards out of 51 total remaining cards → 19/51

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3 years ago

Which equation could represent a circle with a center located at (11,-5)

Anon25 [30]

The standard equation of a circle is:

$(x-h)^2-(y-k)^2=r^2$ where (h,k) is the center and r is the radius.

We need to make an equation of a circle, whose center is (11,-5) with any radius. Therefore, substitute the value.

$(x-h)^2-(y-k)^2=r^2 \\ (11,-5)=(h,k) \\ (x-11)^2-(y-5)^2=64$

The bolded part is your answer. Since the radius is not given, we can put any value.

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