Question

A circle has been dissected into 16 congruent sectors. the base of one sector is 1.95 units, and its height is 4.9 units. using the area of a triangle formula, what is the approximate area of the circle? circle a is dissected into 16 congruent sectors, one sector is highlighted 27.52 units2 48.92 units2 75.39 units2 76.44 units2

Answer 1

Area of circle is 76.44 square units.

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 = $\frac{1}{2} \times b \times h$

Using the formula

Area of one sector= $\frac{1}{2} \times (1.95) \times (4.9)$

= 4.7775 square units

Area of circle A = 16 × Area of sector

Area of circle A = 16 × 4.7775

= 76.44 square units

Hence, Area of circle is 76.44 square units.

Option D is true.

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