Question

The perimeter of a semicircle ( including its diameter) of radius 7cm is

Answer 1

Answer:

36 cm

Step-by-step explanation:

$\text{Radius = 7 cm}\\\\\text{Circumference including dimetere = (\pi \times r) + (2r) }\\\\\\= \dfrac{22}{7} \times 7 + (14)\\\\\\= 22+14 = \large \underline{\boxed{\boxed{\bold{36 \: cm}}}}$

Hope it helps.

Answer 2

$\Large{\underline{\underline{\textsf{\maltese\: {\red{Given :-}}}}}}$

☞ Radius of circular disc = 7cm

$\Large{\underline{\underline{\textsf{\maltese\: {\red{To Find :-}}}}}}$

☞ Perimeter of a semicircle ( including its diameter) = ?

$\Large{\underline{\underline{\textsf{\maltese\: {\red{Concept Implemented :-}}}}}}$

☞ Circumference of circle (⭕) = 2πr

☞ Semi Perimeter of circle (⭕) = πr

☞ Diameter (d) = 2 × Radius (r)

$\Large{\underline{\underline{\textsf{\maltese\: {\red{Solution :-}}}}}}$

» Perimeter of a semicircle ( including its diameter) = Semi Perimeter of circle + Diameter

» Perimeter of a semicircle ( including its diameter)

= πr + d

= πr + 2r

= r(π + 2)

= ${7(\dfrac{22}{7} + 2 )}$cm

= ${7(\dfrac{22 \; + \; 14}{7})}$cm

= $7\; * \; \dfrac{36}{7}$ cm

= 36 cm

∴ Perimeter of a semicircle ( including its diameter) is $\underline{\underline{\bf{36 \:cm}}}$.