What is the approximate perimeter of a semicircle with a radius of 8 m?
use pi star times = 3.14.
express your final answer to the nearest hundredth.
an exponent is a way to represent repeated multiplication. that is
x² = x·x . . . . the exponent of 2 means x is a factor 2 times in the product
so, your expression means
(14√6)² = (14·√6)·(14·√6)
of course, the commutative and associative properties of multiplication allow us to regroup these factors to some convenient order, such as
(14·14)·(√6)(√6) = 196·(√6)(√6)
we know that multiplying a square root times itself gives the original number. (this is the whole point of a square root.) that is
(√6)(√6) = 6
so, the product above is
(14√6)² = 14·14·(√6)(√6) = 196·6 = 1,176
since there are no variables involved here, your calculator can give you this answer.
the sine is the ratio of the opposite side to the hypotenuse. when the ange is acute (< 90°), the hypotenuse is longer than the opposite side of the right triangle, so the ratio of that side length to the hypotenuse must be less than 1.
use pi star tim...