A Sector of a Circle Is the Region Bounded by Two

question 49

Multiple Choice

A sector of a circle is the region bounded by two radii of the circle and their intercepted arc (see figure) . ​ ​
For a circle of radius r the area A of a sector of the circle with central angle θ (measured in radians) is given by A sprinkler system on a farm is set to spray water over a distance of 70 feet and rotates through an angle of 90°.Use the above given information to find the area of the region.Round your answer to two decimal places.
​

• A) 3,848.45
• B) 1,225.00
• C) 2,348.45
• D) 5,348.45
• E) 7,696.90

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Definitions:

Ectoderm

The outermost layer of cells or tissue of an embryo in early development, giving rise to the nervous system and the epidermis, among other structures.

Mesoderm

The middle layer of an embryo in early development, giving rise to the musculoskeletal, vascular, and urogenital systems.

Trophoblast

The outer layer of cells surrounding a blastocyst in early pregnancy, which provides nutrients to the embryo and develops into part of the placenta.

Embryonic Period

A stage of prenatal development that takes place from fertilization until about the eighth week, during which the major organs and structures of the organism begin to develop.