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Alecsey [184]
3 years ago
13

Circle A has been dissected into 16 congruent sectors. The base of one sector is 1.95 units, and its height is 4.9 units. What i

s the approximate area of circle A?
circle A is dissected into 16 congruent sectors, one sector is highlighted
27.52 units2
48.92 units2
75.39 units2
76.44 units2
Mathematics
2 answers:
Nat2105 [25]3 years ago
8 0

Answer:

D.76.44 square units

Step-by-step explanation:

We are given that

Base of one sector=b=1.95 units

Height of sector=h=4.9 units

Total number of sectors=16

Area of one sector is equal to area of triangle (approximately)

Area of sector=\frac{1}{2}bh

Using the formula

Area of one sector=\frac{1}{2}(1.95)(4.9)=4.7775 square units

Area of circle A=16\timesarea of sector

Area of circle A=16\times 4.7775=76.44 square units

Hence,option D is true.

stira [4]3 years ago
3 0

Answer:

A=76.44\ units^{2}

Step-by-step explanation:

To find the approximate area of the circle, calculate the area of one sector and then multiply by 16

Remember that

The area of a triangle (one sector) is equal to

A=\frac{1}{2}(b)(h)

therefore

The approximate area of the circle is equal to

A=(16)\frac{1}{2}(1.95)(4.9)

A=76.44\ units^{2}

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